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Finding the Fourth Proportional to 120,378.95, 166,013.30 and 103,377.86

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Solution

The fourth proportional to 120,378.95, 166,013.30 and 103,377.86 is: 142,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,378.95 : 166,013.30 = 103,377.86 : x
  2. Step 2: Convert to fraction form
    120,378.95/166,013.30 = 103,377.86/x
  3. Step 3: Cross multiply
    120,378.95x = 166,013.30 × 103,377.86
  4. Step 4: Simplify right side
    120,378.95x = 17,162,098,338.58
  5. Step 5: Solve for x
    x = 17,162,098,338.58/120,378.95
  6. Step 6: Final answer
    x = 142,567.28

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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.