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Finding the Fourth Proportional to 86,437, 129,677.38 and 24,107.50

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Solution

The fourth proportional to 86,437, 129,677.38 and 24,107.50 is: 36,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,437 : 129,677.38 = 24,107.50 : x
  2. Step 2: Convert to fraction form
    86,437/129,677.38 = 24,107.50/x
  3. Step 3: Cross multiply
    86,437x = 129,677.38 × 24,107.50
  4. Step 4: Simplify right side
    86,437x = 3,126,197,438.35
  5. Step 5: Solve for x
    x = 3,126,197,438.35/86,437
  6. Step 6: Final answer
    x = 36,167.35

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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.