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Finding the Fourth Proportional to 42,470.98, 63,724.02 and 21,399.76

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Solution

The fourth proportional to 42,470.98, 63,724.02 and 21,399.76 is: 32,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,470.98 : 63,724.02 = 21,399.76 : x
  2. Step 2: Convert to fraction form
    42,470.98/63,724.02 = 21,399.76/x
  3. Step 3: Cross multiply
    42,470.98x = 63,724.02 × 21,399.76
  4. Step 4: Simplify right side
    42,470.98x = 1,363,678,734.24
  5. Step 5: Solve for x
    x = 1,363,678,734.24/42,470.98
  6. Step 6: Final answer
    x = 32,108.48

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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.