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Finding the Fourth Proportional to 91,446.30, 137,169.45 and 56,271.90

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Solution

The fourth proportional to 91,446.30, 137,169.45 and 56,271.90 is: 84,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,446.30 : 137,169.45 = 56,271.90 : x
  2. Step 2: Convert to fraction form
    91,446.30/137,169.45 = 56,271.90/x
  3. Step 3: Cross multiply
    91,446.30x = 137,169.45 × 56,271.90
  4. Step 4: Simplify right side
    91,446.30x = 7,718,785,573.46
  5. Step 5: Solve for x
    x = 7,718,785,573.46/91,446.30
  6. Step 6: Final answer
    x = 84,407.85

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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.