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Finding the Fourth Proportional to 127,874.64, 176,467.20 and 71,284.80

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Solution

The fourth proportional to 127,874.64, 176,467.20 and 71,284.80 is: 98,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,874.64 : 176,467.20 = 71,284.80 : x
  2. Step 2: Convert to fraction form
    127,874.64/176,467.20 = 71,284.80/x
  3. Step 3: Cross multiply
    127,874.64x = 176,467.20 × 71,284.80
  4. Step 4: Simplify right side
    127,874.64x = 12,579,429,058.56
  5. Step 5: Solve for x
    x = 12,579,429,058.56/127,874.64
  6. Step 6: Final answer
    x = 98,373.13

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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.