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Finding the Fourth Proportional to 205,454.40, 307,987.20 and 121,279.20

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Solution

The fourth proportional to 205,454.40, 307,987.20 and 121,279.20 is: 181,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,454.40 : 307,987.20 = 121,279.20 : x
  2. Step 2: Convert to fraction form
    205,454.40/307,987.20 = 121,279.20/x
  3. Step 3: Cross multiply
    205,454.40x = 307,987.20 × 121,279.20
  4. Step 4: Simplify right side
    205,454.40x = 37,352,441,226.24
  5. Step 5: Solve for x
    x = 37,352,441,226.24/205,454.40
  6. Step 6: Final answer
    x = 181,804.05

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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.