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Finding the Fourth Proportional to 125,891.80, 189,056.40 and 66,842.80

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Solution

The fourth proportional to 125,891.80, 189,056.40 and 66,842.80 is: 100,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,891.80 : 189,056.40 = 66,842.80 : x
  2. Step 2: Convert to fraction form
    125,891.80/189,056.40 = 66,842.80/x
  3. Step 3: Cross multiply
    125,891.80x = 189,056.40 × 66,842.80
  4. Step 4: Simplify right side
    125,891.80x = 12,637,059,133.92
  5. Step 5: Solve for x
    x = 12,637,059,133.92/125,891.80
  6. Step 6: Final answer
    x = 100,380.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.