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Finding the Fourth Proportional to 86,269.50, 129,404.25 and 23,940

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Solution

The fourth proportional to 86,269.50, 129,404.25 and 23,940 is: 35,910

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,269.50 : 129,404.25 = 23,940 : x
  2. Step 2: Convert to fraction form
    86,269.50/129,404.25 = 23,940/x
  3. Step 3: Cross multiply
    86,269.50x = 129,404.25 × 23,940
  4. Step 4: Simplify right side
    86,269.50x = 3,097,937,745
  5. Step 5: Solve for x
    x = 3,097,937,745/86,269.50
  6. Step 6: Final answer
    x = 35,910

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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.