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Finding the Fourth Proportional to 189,714.34, 284,488.12 and 100,946.73

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Solution

The fourth proportional to 189,714.34, 284,488.12 and 100,946.73 is: 151,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,714.34 : 284,488.12 = 100,946.73 : x
  2. Step 2: Convert to fraction form
    189,714.34/284,488.12 = 100,946.73/x
  3. Step 3: Cross multiply
    189,714.34x = 284,488.12 × 100,946.73
  4. Step 4: Simplify right side
    189,714.34x = 28,718,145,437.85
  5. Step 5: Solve for x
    x = 28,718,145,437.85/189,714.34
  6. Step 6: Final answer
    x = 151,375.72

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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.