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Finding the Fourth Proportional to 85,654.38, 128,407.69 and 41,220.01

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Solution

The fourth proportional to 85,654.38, 128,407.69 and 41,220.01 is: 61,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,654.38 : 128,407.69 = 41,220.01 : x
  2. Step 2: Convert to fraction form
    85,654.38/128,407.69 = 41,220.01/x
  3. Step 3: Cross multiply
    85,654.38x = 128,407.69 × 41,220.01
  4. Step 4: Simplify right side
    85,654.38x = 5,292,966,265.88
  5. Step 5: Solve for x
    x = 5,292,966,265.88/85,654.38
  6. Step 6: Final answer
    x = 61,794.46

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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.