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Finding the Fourth Proportional to 91,298.20, 136,947.30 and 80,411.80

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Solution

The fourth proportional to 91,298.20, 136,947.30 and 80,411.80 is: 120,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,298.20 : 136,947.30 = 80,411.80 : x
  2. Step 2: Convert to fraction form
    91,298.20/136,947.30 = 80,411.80/x
  3. Step 3: Cross multiply
    91,298.20x = 136,947.30 × 80,411.80
  4. Step 4: Simplify right side
    91,298.20x = 11,012,178,898.14
  5. Step 5: Solve for x
    x = 11,012,178,898.14/91,298.20
  6. Step 6: Final answer
    x = 120,617.70

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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.