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Finding the Fourth Proportional to 252,394.40, 378,663.15 and 102,742.08

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Solution

The fourth proportional to 252,394.40, 378,663.15 and 102,742.08 is: 154,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,394.40 : 378,663.15 = 102,742.08 : x
  2. Step 2: Convert to fraction form
    252,394.40/378,663.15 = 102,742.08/x
  3. Step 3: Cross multiply
    252,394.40x = 378,663.15 × 102,742.08
  4. Step 4: Simplify right side
    252,394.40x = 38,904,639,650.35
  5. Step 5: Solve for x
    x = 38,904,639,650.35/252,394.40
  6. Step 6: Final answer
    x = 154,142.25

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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.