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Finding the Fourth Proportional to 211,282.56, 316,941.12 and 86,624.64

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Solution

The fourth proportional to 211,282.56, 316,941.12 and 86,624.64 is: 129,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,282.56 : 316,941.12 = 86,624.64 : x
  2. Step 2: Convert to fraction form
    211,282.56/316,941.12 = 86,624.64/x
  3. Step 3: Cross multiply
    211,282.56x = 316,941.12 × 86,624.64
  4. Step 4: Simplify right side
    211,282.56x = 27,454,910,421.20
  5. Step 5: Solve for x
    x = 27,454,910,421.20/211,282.56
  6. Step 6: Final answer
    x = 129,944.04

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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.