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Finding the Fourth Proportional to 56,976.92, 78,643.46 and 32,780.66

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Solution

The fourth proportional to 56,976.92, 78,643.46 and 32,780.66 is: 45,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,976.92 : 78,643.46 = 32,780.66 : x
  2. Step 2: Convert to fraction form
    56,976.92/78,643.46 = 32,780.66/x
  3. Step 3: Cross multiply
    56,976.92x = 78,643.46 × 32,780.66
  4. Step 4: Simplify right side
    56,976.92x = 2,577,984,523.48
  5. Step 5: Solve for x
    x = 2,577,984,523.48/56,976.92
  6. Step 6: Final answer
    x = 45,246.12

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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.