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Finding the Fourth Proportional to 189,122.80, 283,684.20 and 83,952.40

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Solution

The fourth proportional to 189,122.80, 283,684.20 and 83,952.40 is: 125,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,122.80 : 283,684.20 = 83,952.40 : x
  2. Step 2: Convert to fraction form
    189,122.80/283,684.20 = 83,952.40/x
  3. Step 3: Cross multiply
    189,122.80x = 283,684.20 × 83,952.40
  4. Step 4: Simplify right side
    189,122.80x = 23,815,969,432.08
  5. Step 5: Solve for x
    x = 23,815,969,432.08/189,122.80
  6. Step 6: Final answer
    x = 125,928.60

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1.5x scale

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.