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Finding the Fourth Proportional to 71,146, 98,227.14 and 45,663.28

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Solution

The fourth proportional to 71,146, 98,227.14 and 45,663.28 is: 63,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146 : 98,227.14 = 45,663.28 : x
  2. Step 2: Convert to fraction form
    71,146/98,227.14 = 45,663.28/x
  3. Step 3: Cross multiply
    71,146x = 98,227.14 × 45,663.28
  4. Step 4: Simplify right side
    71,146x = 4,485,373,397.42
  5. Step 5: Solve for x
    x = 4,485,373,397.42/71,146
  6. Step 6: Final answer
    x = 63,044.63

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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.