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Finding the Fourth Proportional to 85,841.68, 128,781.06 and 35,240.80

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Solution

The fourth proportional to 85,841.68, 128,781.06 and 35,240.80 is: 52,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,841.68 : 128,781.06 = 35,240.80 : x
  2. Step 2: Convert to fraction form
    85,841.68/128,781.06 = 35,240.80/x
  3. Step 3: Cross multiply
    85,841.68x = 128,781.06 × 35,240.80
  4. Step 4: Simplify right side
    85,841.68x = 4,538,347,579.25
  5. Step 5: Solve for x
    x = 4,538,347,579.25/85,841.68
  6. Step 6: Final answer
    x = 52,868.81

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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.