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Finding the Fourth Proportional to 261,659.41, 361,146.26 and 159,663.03

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Solution

The fourth proportional to 261,659.41, 361,146.26 and 159,663.03 is: 220,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,659.41 : 361,146.26 = 159,663.03 : x
  2. Step 2: Convert to fraction form
    261,659.41/361,146.26 = 159,663.03/x
  3. Step 3: Cross multiply
    261,659.41x = 361,146.26 × 159,663.03
  4. Step 4: Simplify right side
    261,659.41x = 57,661,705,641.06
  5. Step 5: Solve for x
    x = 57,661,705,641.06/261,659.41
  6. Step 6: Final answer
    x = 220,369.32

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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.