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Finding the Fourth Proportional to 261,783.40, 361,251.54 and 159,979.28

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Solution

The fourth proportional to 261,783.40, 361,251.54 and 159,979.28 is: 220,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,783.40 : 361,251.54 = 159,979.28 : x
  2. Step 2: Convert to fraction form
    261,783.40/361,251.54 = 159,979.28/x
  3. Step 3: Cross multiply
    261,783.40x = 361,251.54 × 159,979.28
  4. Step 4: Simplify right side
    261,783.40x = 57,792,761,268.09
  5. Step 5: Solve for x
    x = 57,792,761,268.09/261,783.40
  6. Step 6: Final answer
    x = 220,765.57

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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.