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Finding the Fourth Proportional to 123,410.40, 185,182.80 and 67,247.20

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Solution

The fourth proportional to 123,410.40, 185,182.80 and 67,247.20 is: 100,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,410.40 : 185,182.80 = 67,247.20 : x
  2. Step 2: Convert to fraction form
    123,410.40/185,182.80 = 67,247.20/x
  3. Step 3: Cross multiply
    123,410.40x = 185,182.80 × 67,247.20
  4. Step 4: Simplify right side
    123,410.40x = 12,453,024,788.16
  5. Step 5: Solve for x
    x = 12,453,024,788.16/123,410.40
  6. Step 6: Final answer
    x = 100,907.42

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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.