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Finding the Fourth Proportional to 85,781.96, 128,677.04 and 41,446

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Solution

The fourth proportional to 85,781.96, 128,677.04 and 41,446 is: 62,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,781.96 : 128,677.04 = 41,446 : x
  2. Step 2: Convert to fraction form
    85,781.96/128,677.04 = 41,446/x
  3. Step 3: Cross multiply
    85,781.96x = 128,677.04 × 41,446
  4. Step 4: Simplify right side
    85,781.96x = 5,333,148,599.84
  5. Step 5: Solve for x
    x = 5,333,148,599.84/85,781.96
  6. Step 6: Final answer
    x = 62,170.98

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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.