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Finding the Fourth Proportional to 83,776.32, 125,676 and 28,388.16

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Solution

The fourth proportional to 83,776.32, 125,676 and 28,388.16 is: 42,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,776.32 : 125,676 = 28,388.16 : x
  2. Step 2: Convert to fraction form
    83,776.32/125,676 = 28,388.16/x
  3. Step 3: Cross multiply
    83,776.32x = 125,676 × 28,388.16
  4. Step 4: Simplify right side
    83,776.32x = 3,567,710,396.16
  5. Step 5: Solve for x
    x = 3,567,710,396.16/83,776.32
  6. Step 6: Final answer
    x = 42,586.14

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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.