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Finding the Fourth Proportional to 268,140.80, 402,265.20 and 78,600.80

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Solution

The fourth proportional to 268,140.80, 402,265.20 and 78,600.80 is: 117,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,140.80 : 402,265.20 = 78,600.80 : x
  2. Step 2: Convert to fraction form
    268,140.80/402,265.20 = 78,600.80/x
  3. Step 3: Cross multiply
    268,140.80x = 402,265.20 × 78,600.80
  4. Step 4: Simplify right side
    268,140.80x = 31,618,366,532.16
  5. Step 5: Solve for x
    x = 31,618,366,532.16/268,140.80
  6. Step 6: Final answer
    x = 117,917.03

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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.