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Finding the Fourth Proportional to 177,910.56, 266,940 and 78,019.20

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Solution

The fourth proportional to 177,910.56, 266,940 and 78,019.20 is: 117,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,910.56 : 266,940 = 78,019.20 : x
  2. Step 2: Convert to fraction form
    177,910.56/266,940 = 78,019.20/x
  3. Step 3: Cross multiply
    177,910.56x = 266,940 × 78,019.20
  4. Step 4: Simplify right side
    177,910.56x = 20,826,445,248
  5. Step 5: Solve for x
    x = 20,826,445,248/177,910.56
  6. Step 6: Final answer
    x = 117,061.32

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1.5x scale

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.