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Finding the Fourth Proportional to 98,981.32, 148,471.98 and 81,397.84

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Solution

The fourth proportional to 98,981.32, 148,471.98 and 81,397.84 is: 122,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,981.32 : 148,471.98 = 81,397.84 : x
  2. Step 2: Convert to fraction form
    98,981.32/148,471.98 = 81,397.84/x
  3. Step 3: Cross multiply
    98,981.32x = 148,471.98 × 81,397.84
  4. Step 4: Simplify right side
    98,981.32x = 12,085,298,472.52
  5. Step 5: Solve for x
    x = 12,085,298,472.52/98,981.32
  6. Step 6: Final answer
    x = 122,096.76

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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.