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Finding the Fourth Proportional to 101,471.75, 152,208.65 and 45,314.72

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Solution

The fourth proportional to 101,471.75, 152,208.65 and 45,314.72 is: 67,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,471.75 : 152,208.65 = 45,314.72 : x
  2. Step 2: Convert to fraction form
    101,471.75/152,208.65 = 45,314.72/x
  3. Step 3: Cross multiply
    101,471.75x = 152,208.65 × 45,314.72
  4. Step 4: Simplify right side
    101,471.75x = 6,897,292,356.33
  5. Step 5: Solve for x
    x = 6,897,292,356.33/101,471.75
  6. Step 6: Final answer
    x = 67,972.54

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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.