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Finding the Fourth Proportional to 61,202.65, 84,438 and 39,994.22

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Solution

The fourth proportional to 61,202.65, 84,438 and 39,994.22 is: 55,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,202.65 : 84,438 = 39,994.22 : x
  2. Step 2: Convert to fraction form
    61,202.65/84,438 = 39,994.22/x
  3. Step 3: Cross multiply
    61,202.65x = 84,438 × 39,994.22
  4. Step 4: Simplify right side
    61,202.65x = 3,377,031,948.36
  5. Step 5: Solve for x
    x = 3,377,031,948.36/61,202.65
  6. Step 6: Final answer
    x = 55,177.87

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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.