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Finding the Fourth Proportional to 127,646.38, 176,151.94 and 71,071.12

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Solution

The fourth proportional to 127,646.38, 176,151.94 and 71,071.12 is: 98,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,646.38 : 176,151.94 = 71,071.12 : x
  2. Step 2: Convert to fraction form
    127,646.38/176,151.94 = 71,071.12/x
  3. Step 3: Cross multiply
    127,646.38x = 176,151.94 × 71,071.12
  4. Step 4: Simplify right side
    127,646.38x = 12,519,315,665.97
  5. Step 5: Solve for x
    x = 12,519,315,665.97/127,646.38
  6. Step 6: Final answer
    x = 98,078.11

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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.