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Finding the Fourth Proportional to 177,642.92, 245,146.30 and 105,071.78

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Solution

The fourth proportional to 177,642.92, 245,146.30 and 105,071.78 is: 144,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,642.92 : 245,146.30 = 105,071.78 : x
  2. Step 2: Convert to fraction form
    177,642.92/245,146.30 = 105,071.78/x
  3. Step 3: Cross multiply
    177,642.92x = 245,146.30 × 105,071.78
  4. Step 4: Simplify right side
    177,642.92x = 25,757,958,451.60
  5. Step 5: Solve for x
    x = 25,757,958,451.60/177,642.92
  6. Step 6: Final answer
    x = 144,998.51

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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.