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Finding the Fourth Proportional to 232,866.78, 321,390.90 and 142,275.12

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Solution

The fourth proportional to 232,866.78, 321,390.90 and 142,275.12 is: 196,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,866.78 : 321,390.90 = 142,275.12 : x
  2. Step 2: Convert to fraction form
    232,866.78/321,390.90 = 142,275.12/x
  3. Step 3: Cross multiply
    232,866.78x = 321,390.90 × 142,275.12
  4. Step 4: Simplify right side
    232,866.78x = 45,725,928,864.41
  5. Step 5: Solve for x
    x = 45,725,928,864.41/232,866.78
  6. Step 6: Final answer
    x = 196,360.89

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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.