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Finding the Fourth Proportional to 90,617.66, 135,763.49 and 85,280.70

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Solution

The fourth proportional to 90,617.66, 135,763.49 and 85,280.70 is: 127,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,617.66 : 135,763.49 = 85,280.70 : x
  2. Step 2: Convert to fraction form
    90,617.66/135,763.49 = 85,280.70/x
  3. Step 3: Cross multiply
    90,617.66x = 135,763.49 × 85,280.70
  4. Step 4: Simplify right side
    90,617.66x = 11,578,005,420.29
  5. Step 5: Solve for x
    x = 11,578,005,420.29/90,617.66
  6. Step 6: Final answer
    x = 127,767.65

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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.