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Finding the Fourth Proportional to 252,633.42, 378,621.05 and 102,698.57

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Solution

The fourth proportional to 252,633.42, 378,621.05 and 102,698.57 is: 153,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,633.42 : 378,621.05 = 102,698.57 : x
  2. Step 2: Convert to fraction form
    252,633.42/378,621.05 = 102,698.57/x
  3. Step 3: Cross multiply
    252,633.42x = 378,621.05 × 102,698.57
  4. Step 4: Simplify right side
    252,633.42x = 38,883,838,000.30
  5. Step 5: Solve for x
    x = 38,883,838,000.30/252,633.42
  6. Step 6: Final answer
    x = 153,914.07

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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.