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Finding the Fourth Proportional to 261,734.51, 361,101.64 and 171,143.50

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Solution

The fourth proportional to 261,734.51, 361,101.64 and 171,143.50 is: 236,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,734.51 : 361,101.64 = 171,143.50 : x
  2. Step 2: Convert to fraction form
    261,734.51/361,101.64 = 171,143.50/x
  3. Step 3: Cross multiply
    261,734.51x = 361,101.64 × 171,143.50
  4. Step 4: Simplify right side
    261,734.51x = 61,800,198,525.34
  5. Step 5: Solve for x
    x = 61,800,198,525.34/261,734.51
  6. Step 6: Final answer
    x = 236,117.88

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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.