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Finding the Fourth Proportional to 211,624.92, 317,427.12 and 78,531.12

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Solution

The fourth proportional to 211,624.92, 317,427.12 and 78,531.12 is: 117,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,624.92 : 317,427.12 = 78,531.12 : x
  2. Step 2: Convert to fraction form
    211,624.92/317,427.12 = 78,531.12/x
  3. Step 3: Cross multiply
    211,624.92x = 317,427.12 × 78,531.12
  4. Step 4: Simplify right side
    211,624.92x = 24,927,907,251.97
  5. Step 5: Solve for x
    x = 24,927,907,251.97/211,624.92
  6. Step 6: Final answer
    x = 117,792.87

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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.