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Finding the Fourth Proportional to 261,886.07, 361,375.85 and 147,146.48

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Solution

The fourth proportional to 261,886.07, 361,375.85 and 147,146.48 is: 203,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,886.07 : 361,375.85 = 147,146.48 : x
  2. Step 2: Convert to fraction form
    261,886.07/361,375.85 = 147,146.48/x
  3. Step 3: Cross multiply
    261,886.07x = 361,375.85 × 147,146.48
  4. Step 4: Simplify right side
    261,886.07x = 53,175,183,548.78
  5. Step 5: Solve for x
    x = 53,175,183,548.78/261,886.07
  6. Step 6: Final answer
    x = 203,047.01

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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.