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Finding the Fourth Proportional to 42,407, 63,620.80 and 29,951.32

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Solution

The fourth proportional to 42,407, 63,620.80 and 29,951.32 is: 44,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407 : 63,620.80 = 29,951.32 : x
  2. Step 2: Convert to fraction form
    42,407/63,620.80 = 29,951.32/x
  3. Step 3: Cross multiply
    42,407x = 63,620.80 × 29,951.32
  4. Step 4: Simplify right side
    42,407x = 1,905,526,939.46
  5. Step 5: Solve for x
    x = 1,905,526,939.46/42,407
  6. Step 6: Final answer
    x = 44,934.25

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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.