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Finding the Fourth Proportional to 57,402.49, 86,142.93 and 19,962.20

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Solution

The fourth proportional to 57,402.49, 86,142.93 and 19,962.20 is: 29,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402.49 : 86,142.93 = 19,962.20 : x
  2. Step 2: Convert to fraction form
    57,402.49/86,142.93 = 19,962.20/x
  3. Step 3: Cross multiply
    57,402.49x = 86,142.93 × 19,962.20
  4. Step 4: Simplify right side
    57,402.49x = 1,719,602,053.19
  5. Step 5: Solve for x
    x = 1,719,602,053.19/57,402.49
  6. Step 6: Final answer
    x = 29,956.92

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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.