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Finding the Fourth Proportional to 189,006.80, 283,639.80 and 83,901.20

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Solution

The fourth proportional to 189,006.80, 283,639.80 and 83,901.20 is: 125,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,006.80 : 283,639.80 = 83,901.20 : x
  2. Step 2: Convert to fraction form
    189,006.80/283,639.80 = 83,901.20/x
  3. Step 3: Cross multiply
    189,006.80x = 283,639.80 × 83,901.20
  4. Step 4: Simplify right side
    189,006.80x = 23,797,719,587.76
  5. Step 5: Solve for x
    x = 23,797,719,587.76/189,006.80
  6. Step 6: Final answer
    x = 125,909.33

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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.