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Finding the Fourth Proportional to 189,132.30, 283,309.65 and 130,034.70

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Solution

The fourth proportional to 189,132.30, 283,309.65 and 130,034.70 is: 194,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,132.30 : 283,309.65 = 130,034.70 : x
  2. Step 2: Convert to fraction form
    189,132.30/283,309.65 = 130,034.70/x
  3. Step 3: Cross multiply
    189,132.30x = 283,309.65 × 130,034.70
  4. Step 4: Simplify right side
    189,132.30x = 36,840,085,344.86
  5. Step 5: Solve for x
    x = 36,840,085,344.86/189,132.30
  6. Step 6: Final answer
    x = 194,784.74

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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.