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Finding the Fourth Proportional to 84,626.88, 126,946.68 and 28,467.12

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Solution

The fourth proportional to 84,626.88, 126,946.68 and 28,467.12 is: 42,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,626.88 : 126,946.68 = 28,467.12 : x
  2. Step 2: Convert to fraction form
    84,626.88/126,946.68 = 28,467.12/x
  3. Step 3: Cross multiply
    84,626.88x = 126,946.68 × 28,467.12
  4. Step 4: Simplify right side
    84,626.88x = 3,613,806,373.16
  5. Step 5: Solve for x
    x = 3,613,806,373.16/84,626.88
  6. Step 6: Final answer
    x = 42,702.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.