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Finding the Fourth Proportional to 85,200.32, 127,782.88 and 22,856

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Solution

The fourth proportional to 85,200.32, 127,782.88 and 22,856 is: 34,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,200.32 : 127,782.88 = 22,856 : x
  2. Step 2: Convert to fraction form
    85,200.32/127,782.88 = 22,856/x
  3. Step 3: Cross multiply
    85,200.32x = 127,782.88 × 22,856
  4. Step 4: Simplify right side
    85,200.32x = 2,920,605,505.28
  5. Step 5: Solve for x
    x = 2,920,605,505.28/85,200.32
  6. Step 6: Final answer
    x = 34,279.28

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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.