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Finding the Fourth Proportional to 43,842.78, 65,764.19 and 40,693.50

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Solution

The fourth proportional to 43,842.78, 65,764.19 and 40,693.50 is: 61,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,842.78 : 65,764.19 = 40,693.50 : x
  2. Step 2: Convert to fraction form
    43,842.78/65,764.19 = 40,693.50/x
  3. Step 3: Cross multiply
    43,842.78x = 65,764.19 × 40,693.50
  4. Step 4: Simplify right side
    43,842.78x = 2,676,175,065.77
  5. Step 5: Solve for x
    x = 2,676,175,065.77/43,842.78
  6. Step 6: Final answer
    x = 61,040.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.