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Finding the Fourth Proportional to 261,734.01, 361,100.96 and 171,143

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Solution

The fourth proportional to 261,734.01, 361,100.96 and 171,143 is: 236,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,734.01 : 361,100.96 = 171,143 : x
  2. Step 2: Convert to fraction form
    261,734.01/361,100.96 = 171,143/x
  3. Step 3: Cross multiply
    261,734.01x = 361,100.96 × 171,143
  4. Step 4: Simplify right side
    261,734.01x = 61,799,901,597.28
  5. Step 5: Solve for x
    x = 61,799,901,597.28/261,734.01
  6. Step 6: Final answer
    x = 236,117.20

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1.5x scale

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.