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Finding the Fourth Proportional to 99,502.74, 137,310.33 and 54,180

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Solution

The fourth proportional to 99,502.74, 137,310.33 and 54,180 is: 74,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,502.74 : 137,310.33 = 54,180 : x
  2. Step 2: Convert to fraction form
    99,502.74/137,310.33 = 54,180/x
  3. Step 3: Cross multiply
    99,502.74x = 137,310.33 × 54,180
  4. Step 4: Simplify right side
    99,502.74x = 7,439,473,679.40
  5. Step 5: Solve for x
    x = 7,439,473,679.40/99,502.74
  6. Step 6: Final answer
    x = 74,766.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.