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Finding the Fourth Proportional to 127,831.92, 176,454.36 and 77,529.84

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Solution

The fourth proportional to 127,831.92, 176,454.36 and 77,529.84 is: 107,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,831.92 : 176,454.36 = 77,529.84 : x
  2. Step 2: Convert to fraction form
    127,831.92/176,454.36 = 77,529.84/x
  3. Step 3: Cross multiply
    127,831.92x = 176,454.36 × 77,529.84
  4. Step 4: Simplify right side
    127,831.92x = 13,680,478,298.10
  5. Step 5: Solve for x
    x = 13,680,478,298.10/127,831.92
  6. Step 6: Final answer
    x = 107,019.27

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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.