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Finding the Fourth Proportional to 218,718.80, 328,078.20 and 78,459.20

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Solution

The fourth proportional to 218,718.80, 328,078.20 and 78,459.20 is: 117,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,718.80 : 328,078.20 = 78,459.20 : x
  2. Step 2: Convert to fraction form
    218,718.80/328,078.20 = 78,459.20/x
  3. Step 3: Cross multiply
    218,718.80x = 328,078.20 × 78,459.20
  4. Step 4: Simplify right side
    218,718.80x = 25,740,753,109.44
  5. Step 5: Solve for x
    x = 25,740,753,109.44/218,718.80
  6. Step 6: Final answer
    x = 117,688.80

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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.