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Finding the Fourth Proportional to 261,659.16, 361,145.92 and 159,662.78

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Solution

The fourth proportional to 261,659.16, 361,145.92 and 159,662.78 is: 220,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,659.16 : 361,145.92 = 159,662.78 : x
  2. Step 2: Convert to fraction form
    261,659.16/361,145.92 = 159,662.78/x
  3. Step 3: Cross multiply
    261,659.16x = 361,145.92 × 159,662.78
  4. Step 4: Simplify right side
    261,659.16x = 57,661,559,767.13
  5. Step 5: Solve for x
    x = 57,661,559,767.13/261,659.16
  6. Step 6: Final answer
    x = 220,368.97

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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.