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Finding the Fourth Proportional to 218,947.80, 328,421.70 and 78,720.60

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Solution

The fourth proportional to 218,947.80, 328,421.70 and 78,720.60 is: 118,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,947.80 : 328,421.70 = 78,720.60 : x
  2. Step 2: Convert to fraction form
    218,947.80/328,421.70 = 78,720.60/x
  3. Step 3: Cross multiply
    218,947.80x = 328,421.70 × 78,720.60
  4. Step 4: Simplify right side
    218,947.80x = 25,853,553,277.02
  5. Step 5: Solve for x
    x = 25,853,553,277.02/218,947.80
  6. Step 6: Final answer
    x = 118,080.90

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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.