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Finding the Fourth Proportional to 189,085.39, 283,680.02 and 99,134.08

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Solution

The fourth proportional to 189,085.39, 283,680.02 and 99,134.08 is: 148,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,085.39 : 283,680.02 = 99,134.08 : x
  2. Step 2: Convert to fraction form
    189,085.39/283,680.02 = 99,134.08/x
  3. Step 3: Cross multiply
    189,085.39x = 283,680.02 × 99,134.08
  4. Step 4: Simplify right side
    189,085.39x = 28,122,357,335.72
  5. Step 5: Solve for x
    x = 28,122,357,335.72/189,085.39
  6. Step 6: Final answer
    x = 148,728.35

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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.