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Finding the Fourth Proportional to 121,630.32, 182,464.68 and 51,510

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Solution

The fourth proportional to 121,630.32, 182,464.68 and 51,510 is: 77,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,630.32 : 182,464.68 = 51,510 : x
  2. Step 2: Convert to fraction form
    121,630.32/182,464.68 = 51,510/x
  3. Step 3: Cross multiply
    121,630.32x = 182,464.68 × 51,510
  4. Step 4: Simplify right side
    121,630.32x = 9,398,755,666.80
  5. Step 5: Solve for x
    x = 9,398,755,666.80/121,630.32
  6. Step 6: Final answer
    x = 77,273.13

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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.