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Finding the Fourth Proportional to 85,115.16, 127,478.16 and 40,773.24

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Solution

The fourth proportional to 85,115.16, 127,478.16 and 40,773.24 is: 61,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,115.16 : 127,478.16 = 40,773.24 : x
  2. Step 2: Convert to fraction form
    85,115.16/127,478.16 = 40,773.24/x
  3. Step 3: Cross multiply
    85,115.16x = 127,478.16 × 40,773.24
  4. Step 4: Simplify right side
    85,115.16x = 5,197,697,612.44
  5. Step 5: Solve for x
    x = 5,197,697,612.44/85,115.16
  6. Step 6: Final answer
    x = 61,066.65

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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.