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Finding the Fourth Proportional to 189,151.66, 261,150.87 and 117,629.02

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Solution

The fourth proportional to 189,151.66, 261,150.87 and 117,629.02 is: 162,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,151.66 : 261,150.87 = 117,629.02 : x
  2. Step 2: Convert to fraction form
    189,151.66/261,150.87 = 117,629.02/x
  3. Step 3: Cross multiply
    189,151.66x = 261,150.87 × 117,629.02
  4. Step 4: Simplify right side
    189,151.66x = 30,718,920,910.25
  5. Step 5: Solve for x
    x = 30,718,920,910.25/189,151.66
  6. Step 6: Final answer
    x = 162,403.65

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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.