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Finding the Fourth Proportional to 57,143.80, 85,812.90 and 42,369.40

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Solution

The fourth proportional to 57,143.80, 85,812.90 and 42,369.40 is: 63,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143.80 : 85,812.90 = 42,369.40 : x
  2. Step 2: Convert to fraction form
    57,143.80/85,812.90 = 42,369.40/x
  3. Step 3: Cross multiply
    57,143.80x = 85,812.90 × 42,369.40
  4. Step 4: Simplify right side
    57,143.80x = 3,635,841,085.26
  5. Step 5: Solve for x
    x = 3,635,841,085.26/57,143.80
  6. Step 6: Final answer
    x = 63,626.17

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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.