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Finding the Fourth Proportional to 105,273.92, 157,973.40 and 38,760.78

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Solution

The fourth proportional to 105,273.92, 157,973.40 and 38,760.78 is: 58,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,273.92 : 157,973.40 = 38,760.78 : x
  2. Step 2: Convert to fraction form
    105,273.92/157,973.40 = 38,760.78/x
  3. Step 3: Cross multiply
    105,273.92x = 157,973.40 × 38,760.78
  4. Step 4: Simplify right side
    105,273.92x = 6,123,172,203.25
  5. Step 5: Solve for x
    x = 6,123,172,203.25/105,273.92
  6. Step 6: Final answer
    x = 58,164.19

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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.