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Finding the Fourth Proportional to 218,952.10, 328,514.55 and 85,809.70

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Solution

The fourth proportional to 218,952.10, 328,514.55 and 85,809.70 is: 128,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,952.10 : 328,514.55 = 85,809.70 : x
  2. Step 2: Convert to fraction form
    218,952.10/328,514.55 = 85,809.70/x
  3. Step 3: Cross multiply
    218,952.10x = 328,514.55 × 85,809.70
  4. Step 4: Simplify right side
    218,952.10x = 28,189,734,981.14
  5. Step 5: Solve for x
    x = 28,189,734,981.14/218,952.10
  6. Step 6: Final answer
    x = 128,748.41

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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.