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Finding the Fourth Proportional to 253,129.20, 379,698.30 and 75,638.40

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Solution

The fourth proportional to 253,129.20, 379,698.30 and 75,638.40 is: 113,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,129.20 : 379,698.30 = 75,638.40 : x
  2. Step 2: Convert to fraction form
    253,129.20/379,698.30 = 75,638.40/x
  3. Step 3: Cross multiply
    253,129.20x = 379,698.30 × 75,638.40
  4. Step 4: Simplify right side
    253,129.20x = 28,719,771,894.72
  5. Step 5: Solve for x
    x = 28,719,771,894.72/253,129.20
  6. Step 6: Final answer
    x = 113,458.94

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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.