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Finding the Fourth Proportional to 42,098.32, 63,087.28 and 30,917.28

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Solution

The fourth proportional to 42,098.32, 63,087.28 and 30,917.28 is: 46,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,098.32 : 63,087.28 = 30,917.28 : x
  2. Step 2: Convert to fraction form
    42,098.32/63,087.28 = 30,917.28/x
  3. Step 3: Cross multiply
    42,098.32x = 63,087.28 × 30,917.28
  4. Step 4: Simplify right side
    42,098.32x = 1,950,487,100.20
  5. Step 5: Solve for x
    x = 1,950,487,100.20/42,098.32
  6. Step 6: Final answer
    x = 46,331.71

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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.