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Finding the Fourth Proportional to 252,698.64, 379,046.10 and 102,903.72

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Solution

The fourth proportional to 252,698.64, 379,046.10 and 102,903.72 is: 154,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,698.64 : 379,046.10 = 102,903.72 : x
  2. Step 2: Convert to fraction form
    252,698.64/379,046.10 = 102,903.72/x
  3. Step 3: Cross multiply
    252,698.64x = 379,046.10 × 102,903.72
  4. Step 4: Simplify right side
    252,698.64x = 39,005,253,741.49
  5. Step 5: Solve for x
    x = 39,005,253,741.49/252,698.64
  6. Step 6: Final answer
    x = 154,354.82

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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.