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Finding the Fourth Proportional to 127,884, 176,502.72 and 80,178.24

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Solution

The fourth proportional to 127,884, 176,502.72 and 80,178.24 is: 110,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,884 : 176,502.72 = 80,178.24 : x
  2. Step 2: Convert to fraction form
    127,884/176,502.72 = 80,178.24/x
  3. Step 3: Cross multiply
    127,884x = 176,502.72 × 80,178.24
  4. Step 4: Simplify right side
    127,884x = 14,151,677,444.81
  5. Step 5: Solve for x
    x = 14,151,677,444.81/127,884
  6. Step 6: Final answer
    x = 110,660.27

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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.