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Finding the Fourth Proportional to 85,691.58, 128,563.62 and 38,346.51

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Solution

The fourth proportional to 85,691.58, 128,563.62 and 38,346.51 is: 57,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,691.58 : 128,563.62 = 38,346.51 : x
  2. Step 2: Convert to fraction form
    85,691.58/128,563.62 = 38,346.51/x
  3. Step 3: Cross multiply
    85,691.58x = 128,563.62 × 38,346.51
  4. Step 4: Simplify right side
    85,691.58x = 4,929,966,139.97
  5. Step 5: Solve for x
    x = 4,929,966,139.97/85,691.58
  6. Step 6: Final answer
    x = 57,531.51

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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.