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Finding the Fourth Proportional to 253,112.49, 349,194.78 and 145,624.68

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Solution

The fourth proportional to 253,112.49, 349,194.78 and 145,624.68 is: 200,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,112.49 : 349,194.78 = 145,624.68 : x
  2. Step 2: Convert to fraction form
    253,112.49/349,194.78 = 145,624.68/x
  3. Step 3: Cross multiply
    253,112.49x = 349,194.78 × 145,624.68
  4. Step 4: Simplify right side
    253,112.49x = 50,851,378,095.17
  5. Step 5: Solve for x
    x = 50,851,378,095.17/253,112.49
  6. Step 6: Final answer
    x = 200,904.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.