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Finding the Fourth Proportional to 61,699.82, 85,147.29 and 37,839.65

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Solution

The fourth proportional to 61,699.82, 85,147.29 and 37,839.65 is: 52,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,699.82 : 85,147.29 = 37,839.65 : x
  2. Step 2: Convert to fraction form
    61,699.82/85,147.29 = 37,839.65/x
  3. Step 3: Cross multiply
    61,699.82x = 85,147.29 × 37,839.65
  4. Step 4: Simplify right side
    61,699.82x = 3,221,943,226.31
  5. Step 5: Solve for x
    x = 3,221,943,226.31/61,699.82
  6. Step 6: Final answer
    x = 52,219.66

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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.