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Finding the Fourth Proportional to 127,829.92, 176,451.60 and 77,527.84

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Solution

The fourth proportional to 127,829.92, 176,451.60 and 77,527.84 is: 107,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,829.92 : 176,451.60 = 77,527.84 : x
  2. Step 2: Convert to fraction form
    127,829.92/176,451.60 = 77,527.84/x
  3. Step 3: Cross multiply
    127,829.92x = 176,451.60 × 77,527.84
  4. Step 4: Simplify right side
    127,829.92x = 13,679,911,412.54
  5. Step 5: Solve for x
    x = 13,679,911,412.54/127,829.92
  6. Step 6: Final answer
    x = 107,016.51

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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.