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Finding the Fourth Proportional to 138,778.60, 208,116.70 and 45,287.40

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Solution

The fourth proportional to 138,778.60, 208,116.70 and 45,287.40 is: 67,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,778.60 : 208,116.70 = 45,287.40 : x
  2. Step 2: Convert to fraction form
    138,778.60/208,116.70 = 45,287.40/x
  3. Step 3: Cross multiply
    138,778.60x = 208,116.70 × 45,287.40
  4. Step 4: Simplify right side
    138,778.60x = 9,425,064,239.58
  5. Step 5: Solve for x
    x = 9,425,064,239.58/138,778.60
  6. Step 6: Final answer
    x = 67,914.39

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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.