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Finding the Fourth Proportional to 157,281.30, 235,461.15 and 138,849.30

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Solution

The fourth proportional to 157,281.30, 235,461.15 and 138,849.30 is: 207,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,281.30 : 235,461.15 = 138,849.30 : x
  2. Step 2: Convert to fraction form
    157,281.30/235,461.15 = 138,849.30/x
  3. Step 3: Cross multiply
    157,281.30x = 235,461.15 × 138,849.30
  4. Step 4: Simplify right side
    157,281.30x = 32,693,615,854.70
  5. Step 5: Solve for x
    x = 32,693,615,854.70/157,281.30
  6. Step 6: Final answer
    x = 207,867.15

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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.