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Finding the Fourth Proportional to 91,830.70, 137,827.05 and 54,343.90

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Solution

The fourth proportional to 91,830.70, 137,827.05 and 54,343.90 is: 81,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,830.70 : 137,827.05 = 54,343.90 : x
  2. Step 2: Convert to fraction form
    91,830.70/137,827.05 = 54,343.90/x
  3. Step 3: Cross multiply
    91,830.70x = 137,827.05 × 54,343.90
  4. Step 4: Simplify right side
    91,830.70x = 7,490,059,422.50
  5. Step 5: Solve for x
    x = 7,490,059,422.50/91,830.70
  6. Step 6: Final answer
    x = 81,563.78

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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.