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Finding the Fourth Proportional to 61,424, 84,766.08 and 39,098.24

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Solution

The fourth proportional to 61,424, 84,766.08 and 39,098.24 is: 53,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,424 : 84,766.08 = 39,098.24 : x
  2. Step 2: Convert to fraction form
    61,424/84,766.08 = 39,098.24/x
  3. Step 3: Cross multiply
    61,424x = 84,766.08 × 39,098.24
  4. Step 4: Simplify right side
    61,424x = 3,314,204,539.70
  5. Step 5: Solve for x
    x = 3,314,204,539.70/61,424
  6. Step 6: Final answer
    x = 53,956.18

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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.