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Finding the Fourth Proportional to 151,640.10, 227,460.15 and 81,656.10

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Solution

The fourth proportional to 151,640.10, 227,460.15 and 81,656.10 is: 122,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,640.10 : 227,460.15 = 81,656.10 : x
  2. Step 2: Convert to fraction form
    151,640.10/227,460.15 = 81,656.10/x
  3. Step 3: Cross multiply
    151,640.10x = 227,460.15 × 81,656.10
  4. Step 4: Simplify right side
    151,640.10x = 18,573,508,754.42
  5. Step 5: Solve for x
    x = 18,573,508,754.42/151,640.10
  6. Step 6: Final answer
    x = 122,484.15

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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.