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Finding the Fourth Proportional to 218,960.80, 328,441.20 and 78,733.60

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Solution

The fourth proportional to 218,960.80, 328,441.20 and 78,733.60 is: 118,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,960.80 : 328,441.20 = 78,733.60 : x
  2. Step 2: Convert to fraction form
    218,960.80/328,441.20 = 78,733.60/x
  3. Step 3: Cross multiply
    218,960.80x = 328,441.20 × 78,733.60
  4. Step 4: Simplify right side
    218,960.80x = 25,859,358,064.32
  5. Step 5: Solve for x
    x = 25,859,358,064.32/218,960.80
  6. Step 6: Final answer
    x = 118,100.40

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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.