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Finding the Fourth Proportional to 42,551.68, 63,732.48 and 30,838

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Solution

The fourth proportional to 42,551.68, 63,732.48 and 30,838 is: 46,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,551.68 : 63,732.48 = 30,838 : x
  2. Step 2: Convert to fraction form
    42,551.68/63,732.48 = 30,838/x
  3. Step 3: Cross multiply
    42,551.68x = 63,732.48 × 30,838
  4. Step 4: Simplify right side
    42,551.68x = 1,965,382,218.24
  5. Step 5: Solve for x
    x = 1,965,382,218.24/42,551.68
  6. Step 6: Final answer
    x = 46,188.12

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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.