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Finding the Fourth Proportional to 91,402.47, 136,946.88 and 82,157.94

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Solution

The fourth proportional to 91,402.47, 136,946.88 and 82,157.94 is: 123,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,402.47 : 136,946.88 = 82,157.94 : x
  2. Step 2: Convert to fraction form
    91,402.47/136,946.88 = 82,157.94/x
  3. Step 3: Cross multiply
    91,402.47x = 136,946.88 × 82,157.94
  4. Step 4: Simplify right side
    91,402.47x = 11,251,273,550.23
  5. Step 5: Solve for x
    x = 11,251,273,550.23/91,402.47
  6. Step 6: Final answer
    x = 123,095.95

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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.