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Finding the Fourth Proportional to 101,785.71, 152,729.16 and 45,665.48

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Solution

The fourth proportional to 101,785.71, 152,729.16 and 45,665.48 is: 68,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,785.71 : 152,729.16 = 45,665.48 : x
  2. Step 2: Convert to fraction form
    101,785.71/152,729.16 = 45,665.48/x
  3. Step 3: Cross multiply
    101,785.71x = 152,729.16 × 45,665.48
  4. Step 4: Simplify right side
    101,785.71x = 6,974,449,637.75
  5. Step 5: Solve for x
    x = 6,974,449,637.75/101,785.71
  6. Step 6: Final answer
    x = 68,520.91

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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.