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Finding the Fourth Proportional to 235,984.80, 353,977.20 and 78,218.40

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Solution

The fourth proportional to 235,984.80, 353,977.20 and 78,218.40 is: 117,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,984.80 : 353,977.20 = 78,218.40 : x
  2. Step 2: Convert to fraction form
    235,984.80/353,977.20 = 78,218.40/x
  3. Step 3: Cross multiply
    235,984.80x = 353,977.20 × 78,218.40
  4. Step 4: Simplify right side
    235,984.80x = 27,687,530,220.48
  5. Step 5: Solve for x
    x = 27,687,530,220.48/235,984.80
  6. Step 6: Final answer
    x = 117,327.60

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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.