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Finding the Fourth Proportional to 57,178.80, 85,865.40 and 42,404.40

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Solution

The fourth proportional to 57,178.80, 85,865.40 and 42,404.40 is: 63,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,178.80 : 85,865.40 = 42,404.40 : x
  2. Step 2: Convert to fraction form
    57,178.80/85,865.40 = 42,404.40/x
  3. Step 3: Cross multiply
    57,178.80x = 85,865.40 × 42,404.40
  4. Step 4: Simplify right side
    57,178.80x = 3,641,070,767.76
  5. Step 5: Solve for x
    x = 3,641,070,767.76/57,178.80
  6. Step 6: Final answer
    x = 63,678.68

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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.