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Finding the Fourth Proportional to 101,420.20, 152,115.90 and 34,863.40

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Solution

The fourth proportional to 101,420.20, 152,115.90 and 34,863.40 is: 52,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,420.20 : 152,115.90 = 34,863.40 : x
  2. Step 2: Convert to fraction form
    101,420.20/152,115.90 = 34,863.40/x
  3. Step 3: Cross multiply
    101,420.20x = 152,115.90 × 34,863.40
  4. Step 4: Simplify right side
    101,420.20x = 5,303,277,468.06
  5. Step 5: Solve for x
    x = 5,303,277,468.06/101,420.20
  6. Step 6: Final answer
    x = 52,290.15

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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.