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Finding the Fourth Proportional to 85,656, 128,398.68 and 41,270.16

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Solution

The fourth proportional to 85,656, 128,398.68 and 41,270.16 is: 61,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,656 : 128,398.68 = 41,270.16 : x
  2. Step 2: Convert to fraction form
    85,656/128,398.68 = 41,270.16/x
  3. Step 3: Cross multiply
    85,656x = 128,398.68 × 41,270.16
  4. Step 4: Simplify right side
    85,656x = 5,299,034,067.39
  5. Step 5: Solve for x
    x = 5,299,034,067.39/85,656
  6. Step 6: Final answer
    x = 61,864.13

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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.