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Finding the Fourth Proportional to 209,377.84, 288,846.12 and 124,446.64

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Solution

The fourth proportional to 209,377.84, 288,846.12 and 124,446.64 is: 171,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,377.84 : 288,846.12 = 124,446.64 : x
  2. Step 2: Convert to fraction form
    209,377.84/288,846.12 = 124,446.64/x
  3. Step 3: Cross multiply
    209,377.84x = 288,846.12 × 124,446.64
  4. Step 4: Simplify right side
    209,377.84x = 35,945,929,111.04
  5. Step 5: Solve for x
    x = 35,945,929,111.04/209,377.84
  6. Step 6: Final answer
    x = 171,679.72

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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.