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Finding the Fourth Proportional to 43,842.28, 65,763.44 and 40,693

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Solution

The fourth proportional to 43,842.28, 65,763.44 and 40,693 is: 61,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,842.28 : 65,763.44 = 40,693 : x
  2. Step 2: Convert to fraction form
    43,842.28/65,763.44 = 40,693/x
  3. Step 3: Cross multiply
    43,842.28x = 65,763.44 × 40,693
  4. Step 4: Simplify right side
    43,842.28x = 2,676,111,663.92
  5. Step 5: Solve for x
    x = 2,676,111,663.92/43,842.28
  6. Step 6: Final answer
    x = 61,039.52

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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.