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Finding the Fourth Proportional to 121,502.70, 182,448.45 and 82,233.90

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Solution

The fourth proportional to 121,502.70, 182,448.45 and 82,233.90 is: 123,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,502.70 : 182,448.45 = 82,233.90 : x
  2. Step 2: Convert to fraction form
    121,502.70/182,448.45 = 82,233.90/x
  3. Step 3: Cross multiply
    121,502.70x = 182,448.45 × 82,233.90
  4. Step 4: Simplify right side
    121,502.70x = 15,003,447,592.46
  5. Step 5: Solve for x
    x = 15,003,447,592.46/121,502.70
  6. Step 6: Final answer
    x = 123,482.42

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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.