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Finding the Fourth Proportional to 138,909.98, 208,377.29 and 39,071.00

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Solution

The fourth proportional to 138,909.98, 208,377.29 and 39,071.00 is: 58,609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,909.98 : 208,377.29 = 39,071.00 : x
  2. Step 2: Convert to fraction form
    138,909.98/208,377.29 = 39,071.00/x
  3. Step 3: Cross multiply
    138,909.98x = 208,377.29 × 39,071.00
  4. Step 4: Simplify right side
    138,909.98x = 8,141,507,860.35
  5. Step 5: Solve for x
    x = 8,141,507,860.35/138,909.98
  6. Step 6: Final answer
    x = 58,609.96

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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.