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Finding the Fourth Proportional to 101,563.46, 152,578.75 and 71,646.55

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Solution

The fourth proportional to 101,563.46, 152,578.75 and 71,646.55 is: 107,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,563.46 : 152,578.75 = 71,646.55 : x
  2. Step 2: Convert to fraction form
    101,563.46/152,578.75 = 71,646.55/x
  3. Step 3: Cross multiply
    101,563.46x = 152,578.75 × 71,646.55
  4. Step 4: Simplify right side
    101,563.46x = 10,931,741,040.81
  5. Step 5: Solve for x
    x = 10,931,741,040.81/101,563.46
  6. Step 6: Final answer
    x = 107,634.59

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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.