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Finding the Fourth Proportional to 42,542, 63,852.38 and 21,496.85

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Solution

The fourth proportional to 42,542, 63,852.38 and 21,496.85 is: 32,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,542 : 63,852.38 = 21,496.85 : x
  2. Step 2: Convert to fraction form
    42,542/63,852.38 = 21,496.85/x
  3. Step 3: Cross multiply
    42,542x = 63,852.38 × 21,496.85
  4. Step 4: Simplify right side
    42,542x = 1,372,625,035.00
  5. Step 5: Solve for x
    x = 1,372,625,035.00/42,542
  6. Step 6: Final answer
    x = 32,265.17

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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.