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Finding the Fourth Proportional to 57,418, 86,127.36 and 15,865.36

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Solution

The fourth proportional to 57,418, 86,127.36 and 15,865.36 is: 23,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,418 : 86,127.36 = 15,865.36 : x
  2. Step 2: Convert to fraction form
    57,418/86,127.36 = 15,865.36/x
  3. Step 3: Cross multiply
    57,418x = 86,127.36 × 15,865.36
  4. Step 4: Simplify right side
    57,418x = 1,366,441,572.25
  5. Step 5: Solve for x
    x = 1,366,441,572.25/57,418
  6. Step 6: Final answer
    x = 23,798.14

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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.