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Finding the Fourth Proportional to 61,822.16, 85,290.42 and 40,337.18

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Solution

The fourth proportional to 61,822.16, 85,290.42 and 40,337.18 is: 55,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,822.16 : 85,290.42 = 40,337.18 : x
  2. Step 2: Convert to fraction form
    61,822.16/85,290.42 = 40,337.18/x
  3. Step 3: Cross multiply
    61,822.16x = 85,290.42 × 40,337.18
  4. Step 4: Simplify right side
    61,822.16x = 3,440,375,023.82
  5. Step 5: Solve for x
    x = 3,440,375,023.82/61,822.16
  6. Step 6: Final answer
    x = 55,649.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.