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Finding the Fourth Proportional to 243,037.80, 364,556.70 and 85,209.30

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Solution

The fourth proportional to 243,037.80, 364,556.70 and 85,209.30 is: 127,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,037.80 : 364,556.70 = 85,209.30 : x
  2. Step 2: Convert to fraction form
    243,037.80/364,556.70 = 85,209.30/x
  3. Step 3: Cross multiply
    243,037.80x = 364,556.70 × 85,209.30
  4. Step 4: Simplify right side
    243,037.80x = 31,063,621,217.31
  5. Step 5: Solve for x
    x = 31,063,621,217.31/243,037.80
  6. Step 6: Final answer
    x = 127,813.95

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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.