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Finding the Fourth Proportional to 90,640.80, 135,961.20 and 77,518.80

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Solution

The fourth proportional to 90,640.80, 135,961.20 and 77,518.80 is: 116,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,640.80 : 135,961.20 = 77,518.80 : x
  2. Step 2: Convert to fraction form
    90,640.80/135,961.20 = 77,518.80/x
  3. Step 3: Cross multiply
    90,640.80x = 135,961.20 × 77,518.80
  4. Step 4: Simplify right side
    90,640.80x = 10,539,549,070.56
  5. Step 5: Solve for x
    x = 10,539,549,070.56/90,640.80
  6. Step 6: Final answer
    x = 116,278.20

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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.