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Finding the Fourth Proportional to 138,974,493.60, 208,594,450.80 and 118,802,512.80

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Solution

The fourth proportional to 138,974,493.60, 208,594,450.80 and 118,802,512.80 is: 178,317,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,974,493.60 : 208,594,450.80 = 118,802,512.80 : x
  2. Step 2: Convert to fraction form
    138,974,493.60/208,594,450.80 = 118,802,512.80/x
  3. Step 3: Cross multiply
    138,974,493.60x = 208,594,450.80 × 118,802,512.80
  4. Step 4: Simplify right side
    138,974,493.60x = 24,781,544,911,175,972
  5. Step 5: Solve for x
    x = 24,781,544,911,175,972/138,974,493.60
  6. Step 6: Final answer
    x = 178,317,216.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.