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Finding the Fourth Proportional to 125,908.30, 189,081.15 and 66,859.30

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Solution

The fourth proportional to 125,908.30, 189,081.15 and 66,859.30 is: 100,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,908.30 : 189,081.15 = 66,859.30 : x
  2. Step 2: Convert to fraction form
    125,908.30/189,081.15 = 66,859.30/x
  3. Step 3: Cross multiply
    125,908.30x = 189,081.15 × 66,859.30
  4. Step 4: Simplify right side
    125,908.30x = 12,641,833,332.20
  5. Step 5: Solve for x
    x = 12,641,833,332.20/125,908.30
  6. Step 6: Final answer
    x = 100,405.08

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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.