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Finding the Fourth Proportional to 42,468.28, 63,647.70 and 17,478.28

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Solution

The fourth proportional to 42,468.28, 63,647.70 and 17,478.28 is: 26,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,468.28 : 63,647.70 = 17,478.28 : x
  2. Step 2: Convert to fraction form
    42,468.28/63,647.70 = 17,478.28/x
  3. Step 3: Cross multiply
    42,468.28x = 63,647.70 × 17,478.28
  4. Step 4: Simplify right side
    42,468.28x = 1,112,452,321.96
  5. Step 5: Solve for x
    x = 1,112,452,321.96/42,468.28
  6. Step 6: Final answer
    x = 26,194.90

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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.