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Finding the Fourth Proportional to 91,746.70, 137,701.05 and 54,259.90

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Solution

The fourth proportional to 91,746.70, 137,701.05 and 54,259.90 is: 81,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,746.70 : 137,701.05 = 54,259.90 : x
  2. Step 2: Convert to fraction form
    91,746.70/137,701.05 = 54,259.90/x
  3. Step 3: Cross multiply
    91,746.70x = 137,701.05 × 54,259.90
  4. Step 4: Simplify right side
    91,746.70x = 7,471,645,202.90
  5. Step 5: Solve for x
    x = 7,471,645,202.90/91,746.70
  6. Step 6: Final answer
    x = 81,437.75

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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.