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Finding the Fourth Proportional to 101,960, 140,717.76 and 57,248

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Solution

The fourth proportional to 101,960, 140,717.76 and 57,248 is: 79,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,960 : 140,717.76 = 57,248 : x
  2. Step 2: Convert to fraction form
    101,960/140,717.76 = 57,248/x
  3. Step 3: Cross multiply
    101,960x = 140,717.76 × 57,248
  4. Step 4: Simplify right side
    101,960x = 8,055,810,324.48
  5. Step 5: Solve for x
    x = 8,055,810,324.48/101,960
  6. Step 6: Final answer
    x = 79,009.52

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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.