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Finding the Fourth Proportional to 120,847.80, 166,793.70 and 77,212.32

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Solution

The fourth proportional to 120,847.80, 166,793.70 and 77,212.32 is: 106,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,847.80 : 166,793.70 = 77,212.32 : x
  2. Step 2: Convert to fraction form
    120,847.80/166,793.70 = 77,212.32/x
  3. Step 3: Cross multiply
    120,847.80x = 166,793.70 × 77,212.32
  4. Step 4: Simplify right side
    120,847.80x = 12,878,528,538.38
  5. Step 5: Solve for x
    x = 12,878,528,538.38/120,847.80
  6. Step 6: Final answer
    x = 106,568.17

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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.