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Finding the Fourth Proportional to 223,925.82, 309,017.88 and 121,951.44

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Solution

The fourth proportional to 223,925.82, 309,017.88 and 121,951.44 is: 168,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,925.82 : 309,017.88 = 121,951.44 : x
  2. Step 2: Convert to fraction form
    223,925.82/309,017.88 = 121,951.44/x
  3. Step 3: Cross multiply
    223,925.82x = 309,017.88 × 121,951.44
  4. Step 4: Simplify right side
    223,925.82x = 37,685,175,451.75
  5. Step 5: Solve for x
    x = 37,685,175,451.75/223,925.82
  6. Step 6: Final answer
    x = 168,293.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.