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Finding the Fourth Proportional to 252,465.45, 378,370.95 and 102,531.56

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Solution

The fourth proportional to 252,465.45, 378,370.95 and 102,531.56 is: 153,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,465.45 : 378,370.95 = 102,531.56 : x
  2. Step 2: Convert to fraction form
    252,465.45/378,370.95 = 102,531.56/x
  3. Step 3: Cross multiply
    252,465.45x = 378,370.95 × 102,531.56
  4. Step 4: Simplify right side
    252,465.45x = 38,794,963,249.52
  5. Step 5: Solve for x
    x = 38,794,963,249.52/252,465.45
  6. Step 6: Final answer
    x = 153,664.45

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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.