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Finding the Fourth Proportional to 267,640.80, 401,515.20 and 78,100.80

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Solution

The fourth proportional to 267,640.80, 401,515.20 and 78,100.80 is: 117,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,640.80 : 401,515.20 = 78,100.80 : x
  2. Step 2: Convert to fraction form
    267,640.80/401,515.20 = 78,100.80/x
  3. Step 3: Cross multiply
    267,640.80x = 401,515.20 × 78,100.80
  4. Step 4: Simplify right side
    267,640.80x = 31,358,658,332.16
  5. Step 5: Solve for x
    x = 31,358,658,332.16/267,640.80
  6. Step 6: Final answer
    x = 117,166.96

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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.