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Finding the Fourth Proportional to 106,782.75, 147,335.70 and 63,753.86

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Solution

The fourth proportional to 106,782.75, 147,335.70 and 63,753.86 is: 87,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,782.75 : 147,335.70 = 63,753.86 : x
  2. Step 2: Convert to fraction form
    106,782.75/147,335.70 = 63,753.86/x
  3. Step 3: Cross multiply
    106,782.75x = 147,335.70 × 63,753.86
  4. Step 4: Simplify right side
    106,782.75x = 9,393,218,854.12
  5. Step 5: Solve for x
    x = 9,393,218,854.12/106,782.75
  6. Step 6: Final answer
    x = 87,965.70

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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.