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Finding the Fourth Proportional to 125,947.80, 189,140.40 and 66,898.80

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Solution

The fourth proportional to 125,947.80, 189,140.40 and 66,898.80 is: 100,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,947.80 : 189,140.40 = 66,898.80 : x
  2. Step 2: Convert to fraction form
    125,947.80/189,140.40 = 66,898.80/x
  3. Step 3: Cross multiply
    125,947.80x = 189,140.40 × 66,898.80
  4. Step 4: Simplify right side
    125,947.80x = 12,653,265,791.52
  5. Step 5: Solve for x
    x = 12,653,265,791.52/125,947.80
  6. Step 6: Final answer
    x = 100,464.37

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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.