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Finding the Fourth Proportional to 42,857.52, 64,294.96 and 15,174.96

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Solution

The fourth proportional to 42,857.52, 64,294.96 and 15,174.96 is: 22,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857.52 : 64,294.96 = 15,174.96 : x
  2. Step 2: Convert to fraction form
    42,857.52/64,294.96 = 15,174.96/x
  3. Step 3: Cross multiply
    42,857.52x = 64,294.96 × 15,174.96
  4. Step 4: Simplify right side
    42,857.52x = 975,673,446.20
  5. Step 5: Solve for x
    x = 975,673,446.20/42,857.52
  6. Step 6: Final answer
    x = 22,765.51

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1.5x scale

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.