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Finding the Fourth Proportional to 138,193.83, 207,290.70 and 38,354.01

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Solution

The fourth proportional to 138,193.83, 207,290.70 and 38,354.01 is: 57,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,193.83 : 207,290.70 = 38,354.01 : x
  2. Step 2: Convert to fraction form
    138,193.83/207,290.70 = 38,354.01/x
  3. Step 3: Cross multiply
    138,193.83x = 207,290.70 × 38,354.01
  4. Step 4: Simplify right side
    138,193.83x = 7,950,429,580.71
  5. Step 5: Solve for x
    x = 7,950,429,580.71/138,193.83
  6. Step 6: Final answer
    x = 57,531.00

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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.