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Finding the Fourth Proportional to 91,881.76, 126,730.56 and 84,352

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Solution

The fourth proportional to 91,881.76, 126,730.56 and 84,352 is: 116,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,881.76 : 126,730.56 = 84,352 : x
  2. Step 2: Convert to fraction form
    91,881.76/126,730.56 = 84,352/x
  3. Step 3: Cross multiply
    91,881.76x = 126,730.56 × 84,352
  4. Step 4: Simplify right side
    91,881.76x = 10,689,976,197.12
  5. Step 5: Solve for x
    x = 10,689,976,197.12/91,881.76
  6. Step 6: Final answer
    x = 116,344.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.