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Finding the Fourth Proportional to 42,587.87, 63,835.92 and 20,353.97

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Solution

The fourth proportional to 42,587.87, 63,835.92 and 20,353.97 is: 30,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,587.87 : 63,835.92 = 20,353.97 : x
  2. Step 2: Convert to fraction form
    42,587.87/63,835.92 = 20,353.97/x
  3. Step 3: Cross multiply
    42,587.87x = 63,835.92 × 20,353.97
  4. Step 4: Simplify right side
    42,587.87x = 1,299,314,081.42
  5. Step 5: Solve for x
    x = 1,299,314,081.42/42,587.87
  6. Step 6: Final answer
    x = 30,509.02

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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.