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Finding the Fourth Proportional to 127,871.62, 176,463.06 and 71,281.78

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Solution

The fourth proportional to 127,871.62, 176,463.06 and 71,281.78 is: 98,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,871.62 : 176,463.06 = 71,281.78 : x
  2. Step 2: Convert to fraction form
    127,871.62/176,463.06 = 71,281.78/x
  3. Step 3: Cross multiply
    127,871.62x = 176,463.06 × 71,281.78
  4. Step 4: Simplify right side
    127,871.62x = 12,578,601,021.05
  5. Step 5: Solve for x
    x = 12,578,601,021.05/127,871.62
  6. Step 6: Final answer
    x = 98,368.98

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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.