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Finding the Fourth Proportional to 267,156.96, 400,756.26 and 77,620.40

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Solution

The fourth proportional to 267,156.96, 400,756.26 and 77,620.40 is: 116,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,156.96 : 400,756.26 = 77,620.40 : x
  2. Step 2: Convert to fraction form
    267,156.96/400,756.26 = 77,620.40/x
  3. Step 3: Cross multiply
    267,156.96x = 400,756.26 × 77,620.40
  4. Step 4: Simplify right side
    267,156.96x = 31,106,861,203.70
  5. Step 5: Solve for x
    x = 31,106,861,203.70/267,156.96
  6. Step 6: Final answer
    x = 116,436.65

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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.