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Finding the Fourth Proportional to 121,447.30, 182,138.55 and 42,553.30

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Solution

The fourth proportional to 121,447.30, 182,138.55 and 42,553.30 is: 63,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,447.30 : 182,138.55 = 42,553.30 : x
  2. Step 2: Convert to fraction form
    121,447.30/182,138.55 = 42,553.30/x
  3. Step 3: Cross multiply
    121,447.30x = 182,138.55 × 42,553.30
  4. Step 4: Simplify right side
    121,447.30x = 7,750,596,359.72
  5. Step 5: Solve for x
    x = 7,750,596,359.72/121,447.30
  6. Step 6: Final answer
    x = 63,818.60

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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.