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Finding the Fourth Proportional to 85,456.66, 128,194.36 and 35,542.66

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Solution

The fourth proportional to 85,456.66, 128,194.36 and 35,542.66 is: 53,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,456.66 : 128,194.36 = 35,542.66 : x
  2. Step 2: Convert to fraction form
    85,456.66/128,194.36 = 35,542.66/x
  3. Step 3: Cross multiply
    85,456.66x = 128,194.36 × 35,542.66
  4. Step 4: Simplify right side
    85,456.66x = 4,556,368,551.40
  5. Step 5: Solve for x
    x = 4,556,368,551.40/85,456.66
  6. Step 6: Final answer
    x = 53,317.89

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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.