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Finding the Fourth Proportional to 211,793.52, 317,729.16 and 78,765.60

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Solution

The fourth proportional to 211,793.52, 317,729.16 and 78,765.60 is: 118,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,793.52 : 317,729.16 = 78,765.60 : x
  2. Step 2: Convert to fraction form
    211,793.52/317,729.16 = 78,765.60/x
  3. Step 3: Cross multiply
    211,793.52x = 317,729.16 × 78,765.60
  4. Step 4: Simplify right side
    211,793.52x = 25,026,127,924.90
  5. Step 5: Solve for x
    x = 25,026,127,924.90/211,793.52
  6. Step 6: Final answer
    x = 118,162.86

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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.