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Finding the Fourth Proportional to 40,781.54, 61,151.54 and 15,828.74

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Solution

The fourth proportional to 40,781.54, 61,151.54 and 15,828.74 is: 23,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,781.54 : 61,151.54 = 15,828.74 : x
  2. Step 2: Convert to fraction form
    40,781.54/61,151.54 = 15,828.74/x
  3. Step 3: Cross multiply
    40,781.54x = 61,151.54 × 15,828.74
  4. Step 4: Simplify right side
    40,781.54x = 967,951,827.26
  5. Step 5: Solve for x
    x = 967,951,827.26/40,781.54
  6. Step 6: Final answer
    x = 23,735.05

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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.