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Finding the Fourth Proportional to 109,906.01, 151,678.44 and 61,512.78

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Solution

The fourth proportional to 109,906.01, 151,678.44 and 61,512.78 is: 84,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906.01 : 151,678.44 = 61,512.78 : x
  2. Step 2: Convert to fraction form
    109,906.01/151,678.44 = 61,512.78/x
  3. Step 3: Cross multiply
    109,906.01x = 151,678.44 × 61,512.78
  4. Step 4: Simplify right side
    109,906.01x = 9,330,162,510.46
  5. Step 5: Solve for x
    x = 9,330,162,510.46/109,906.01
  6. Step 6: Final answer
    x = 84,892.20

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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.