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Finding the Fourth Proportional to 101,960.99, 140,726.31 and 65,143.66

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Solution

The fourth proportional to 101,960.99, 140,726.31 and 65,143.66 is: 89,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,960.99 : 140,726.31 = 65,143.66 : x
  2. Step 2: Convert to fraction form
    101,960.99/140,726.31 = 65,143.66/x
  3. Step 3: Cross multiply
    101,960.99x = 140,726.31 × 65,143.66
  4. Step 4: Simplify right side
    101,960.99x = 9,167,425,862.34
  5. Step 5: Solve for x
    x = 9,167,425,862.34/101,960.99
  6. Step 6: Final answer
    x = 89,911.11

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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.