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Finding the Fourth Proportional to 61,131.20, 85,642 and 61,131.20

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Solution

The fourth proportional to 61,131.20, 85,642 and 61,131.20 is: 85,642

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,131.20 : 85,642 = 61,131.20 : x
  2. Step 2: Convert to fraction form
    61,131.20/85,642 = 61,131.20/x
  3. Step 3: Cross multiply
    61,131.20x = 85,642 × 61,131.20
  4. Step 4: Simplify right side
    61,131.20x = 5,235,398,230.40
  5. Step 5: Solve for x
    x = 5,235,398,230.40/61,131.20
  6. Step 6: Final answer
    x = 85,642

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.