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Finding the Fourth Proportional to 101,506.11, 152,280.20 and 30,425.88

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Solution

The fourth proportional to 101,506.11, 152,280.20 and 30,425.88 is: 45,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,506.11 : 152,280.20 = 30,425.88 : x
  2. Step 2: Convert to fraction form
    101,506.11/152,280.20 = 30,425.88/x
  3. Step 3: Cross multiply
    101,506.11x = 152,280.20 × 30,425.88
  4. Step 4: Simplify right side
    101,506.11x = 4,633,258,939.45
  5. Step 5: Solve for x
    x = 4,633,258,939.45/101,506.11
  6. Step 6: Final answer
    x = 45,645.12

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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.