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Finding the Fourth Proportional to 57,711, 86,566.50 and 13,935

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Solution

The fourth proportional to 57,711, 86,566.50 and 13,935 is: 20,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,711 : 86,566.50 = 13,935 : x
  2. Step 2: Convert to fraction form
    57,711/86,566.50 = 13,935/x
  3. Step 3: Cross multiply
    57,711x = 86,566.50 × 13,935
  4. Step 4: Simplify right side
    57,711x = 1,206,304,177.50
  5. Step 5: Solve for x
    x = 1,206,304,177.50/57,711
  6. Step 6: Final answer
    x = 20,902.50

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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.