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Finding the Fourth Proportional to 121,346.87, 182,102.28 and 42,461.78

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Solution

The fourth proportional to 121,346.87, 182,102.28 and 42,461.78 is: 63,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,346.87 : 182,102.28 = 42,461.78 : x
  2. Step 2: Convert to fraction form
    121,346.87/182,102.28 = 42,461.78/x
  3. Step 3: Cross multiply
    121,346.87x = 182,102.28 × 42,461.78
  4. Step 4: Simplify right side
    121,346.87x = 7,732,386,950.86
  5. Step 5: Solve for x
    x = 7,732,386,950.86/121,346.87
  6. Step 6: Final answer
    x = 63,721.35

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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.