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Finding the Fourth Proportional to 120,113.49, 165,754.20 and 66,400.77

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Solution

The fourth proportional to 120,113.49, 165,754.20 and 66,400.77 is: 91,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,113.49 : 165,754.20 = 66,400.77 : x
  2. Step 2: Convert to fraction form
    120,113.49/165,754.20 = 66,400.77/x
  3. Step 3: Cross multiply
    120,113.49x = 165,754.20 × 66,400.77
  4. Step 4: Simplify right side
    120,113.49x = 11,006,206,510.73
  5. Step 5: Solve for x
    x = 11,006,206,510.73/120,113.49
  6. Step 6: Final answer
    x = 91,631.73

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1.5x scale

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.