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Finding the Fourth Proportional to 85,645.01, 128,470.34 and 29,484.54

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Solution

The fourth proportional to 85,645.01, 128,470.34 and 29,484.54 is: 44,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,645.01 : 128,470.34 = 29,484.54 : x
  2. Step 2: Convert to fraction form
    85,645.01/128,470.34 = 29,484.54/x
  3. Step 3: Cross multiply
    85,645.01x = 128,470.34 × 29,484.54
  4. Step 4: Simplify right side
    85,645.01x = 3,787,888,952.25
  5. Step 5: Solve for x
    x = 3,787,888,952.25/85,645.01
  6. Step 6: Final answer
    x = 44,227.78

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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.