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Finding the Fourth Proportional to 42,695.20, 64,042.80 and 40,103.20

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Solution

The fourth proportional to 42,695.20, 64,042.80 and 40,103.20 is: 60,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,695.20 : 64,042.80 = 40,103.20 : x
  2. Step 2: Convert to fraction form
    42,695.20/64,042.80 = 40,103.20/x
  3. Step 3: Cross multiply
    42,695.20x = 64,042.80 × 40,103.20
  4. Step 4: Simplify right side
    42,695.20x = 2,568,321,216.96
  5. Step 5: Solve for x
    x = 2,568,321,216.96/42,695.20
  6. Step 6: Final answer
    x = 60,154.80

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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.