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Finding the Fourth Proportional to 211,546.60, 317,319.90 and 127,565.80

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Solution

The fourth proportional to 211,546.60, 317,319.90 and 127,565.80 is: 191,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,546.60 : 317,319.90 = 127,565.80 : x
  2. Step 2: Convert to fraction form
    211,546.60/317,319.90 = 127,565.80/x
  3. Step 3: Cross multiply
    211,546.60x = 317,319.90 × 127,565.80
  4. Step 4: Simplify right side
    211,546.60x = 40,479,166,899.42
  5. Step 5: Solve for x
    x = 40,479,166,899.42/211,546.60
  6. Step 6: Final answer
    x = 191,348.70

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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.