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Finding the Fourth Proportional to 91,829.70, 137,825.55 and 54,342.90

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Solution

The fourth proportional to 91,829.70, 137,825.55 and 54,342.90 is: 81,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,829.70 : 137,825.55 = 54,342.90 : x
  2. Step 2: Convert to fraction form
    91,829.70/137,825.55 = 54,342.90/x
  3. Step 3: Cross multiply
    91,829.70x = 137,825.55 × 54,342.90
  4. Step 4: Simplify right side
    91,829.70x = 7,489,840,081.10
  5. Step 5: Solve for x
    x = 7,489,840,081.10/91,829.70
  6. Step 6: Final answer
    x = 81,562.28

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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.