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Finding the Fourth Proportional to 138,932, 208,507.36 and 71,461.28

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Solution

The fourth proportional to 138,932, 208,507.36 and 71,461.28 is: 107,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,932 : 208,507.36 = 71,461.28 : x
  2. Step 2: Convert to fraction form
    138,932/208,507.36 = 71,461.28/x
  3. Step 3: Cross multiply
    138,932x = 208,507.36 × 71,461.28
  4. Step 4: Simplify right side
    138,932x = 14,900,202,835.02
  5. Step 5: Solve for x
    x = 14,900,202,835.02/138,932
  6. Step 6: Final answer
    x = 107,248.17

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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.