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Finding the Fourth Proportional to 149,655.77, 206,601.15 and 115,587.78

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Solution

The fourth proportional to 149,655.77, 206,601.15 and 115,587.78 is: 159,569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,655.77 : 206,601.15 = 115,587.78 : x
  2. Step 2: Convert to fraction form
    149,655.77/206,601.15 = 115,587.78/x
  3. Step 3: Cross multiply
    149,655.77x = 206,601.15 × 115,587.78
  4. Step 4: Simplify right side
    149,655.77x = 23,880,568,273.95
  5. Step 5: Solve for x
    x = 23,880,568,273.95/149,655.77
  6. Step 6: Final answer
    x = 159,569.99

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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.