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Finding the Fourth Proportional to 157,233.80, 235,389.90 and 138,801.80

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Solution

The fourth proportional to 157,233.80, 235,389.90 and 138,801.80 is: 207,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,233.80 : 235,389.90 = 138,801.80 : x
  2. Step 2: Convert to fraction form
    157,233.80/235,389.90 = 138,801.80/x
  3. Step 3: Cross multiply
    157,233.80x = 235,389.90 × 138,801.80
  4. Step 4: Simplify right side
    157,233.80x = 32,672,541,821.82
  5. Step 5: Solve for x
    x = 32,672,541,821.82/157,233.80
  6. Step 6: Final answer
    x = 207,795.92

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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.