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Finding the Fourth Proportional to 127,707, 176,063.88 and 89,415.04

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Solution

The fourth proportional to 127,707, 176,063.88 and 89,415.04 is: 123,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,707 : 176,063.88 = 89,415.04 : x
  2. Step 2: Convert to fraction form
    127,707/176,063.88 = 89,415.04/x
  3. Step 3: Cross multiply
    127,707x = 176,063.88 × 89,415.04
  4. Step 4: Simplify right side
    127,707x = 15,742,758,872.76
  5. Step 5: Solve for x
    x = 15,742,758,872.76/127,707
  6. Step 6: Final answer
    x = 123,272.48

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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.