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Finding the Fourth Proportional to 137,917.60, 207,070.80 and 85,429.60

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Solution

The fourth proportional to 137,917.60, 207,070.80 and 85,429.60 is: 128,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917.60 : 207,070.80 = 85,429.60 : x
  2. Step 2: Convert to fraction form
    137,917.60/207,070.80 = 85,429.60/x
  3. Step 3: Cross multiply
    137,917.60x = 207,070.80 × 85,429.60
  4. Step 4: Simplify right side
    137,917.60x = 17,689,975,615.68
  5. Step 5: Solve for x
    x = 17,689,975,615.68/137,917.60
  6. Step 6: Final answer
    x = 128,264.82

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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.