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Finding the Fourth Proportional to 153,765.78, 230,687.52 and 42,957.78

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Solution

The fourth proportional to 153,765.78, 230,687.52 and 42,957.78 is: 64,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,765.78 : 230,687.52 = 42,957.78 : x
  2. Step 2: Convert to fraction form
    153,765.78/230,687.52 = 42,957.78/x
  3. Step 3: Cross multiply
    153,765.78x = 230,687.52 × 42,957.78
  4. Step 4: Simplify right side
    153,765.78x = 9,909,823,732.91
  5. Step 5: Solve for x
    x = 9,909,823,732.91/153,765.78
  6. Step 6: Final answer
    x = 64,447.52

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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.