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Finding the Fourth Proportional to 218,686.10, 328,029.15 and 78,394.10

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Solution

The fourth proportional to 218,686.10, 328,029.15 and 78,394.10 is: 117,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,686.10 : 328,029.15 = 78,394.10 : x
  2. Step 2: Convert to fraction form
    218,686.10/328,029.15 = 78,394.10/x
  3. Step 3: Cross multiply
    218,686.10x = 328,029.15 × 78,394.10
  4. Step 4: Simplify right side
    218,686.10x = 25,715,549,988.02
  5. Step 5: Solve for x
    x = 25,715,549,988.02/218,686.10
  6. Step 6: Final answer
    x = 117,591.15

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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.