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Finding the Fourth Proportional to 106,799.77, 147,359.13 and 63,770.86

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Solution

The fourth proportional to 106,799.77, 147,359.13 and 63,770.86 is: 87,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,799.77 : 147,359.13 = 63,770.86 : x
  2. Step 2: Convert to fraction form
    106,799.77/147,359.13 = 63,770.86/x
  3. Step 3: Cross multiply
    106,799.77x = 147,359.13 × 63,770.86
  4. Step 4: Simplify right side
    106,799.77x = 9,397,217,712.16
  5. Step 5: Solve for x
    x = 9,397,217,712.16/106,799.77
  6. Step 6: Final answer
    x = 87,989.12

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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.