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Finding the Fourth Proportional to 151,158.52, 208,589.66 and 83,173

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Solution

The fourth proportional to 151,158.52, 208,589.66 and 83,173 is: 114,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,158.52 : 208,589.66 = 83,173 : x
  2. Step 2: Convert to fraction form
    151,158.52/208,589.66 = 83,173/x
  3. Step 3: Cross multiply
    151,158.52x = 208,589.66 × 83,173
  4. Step 4: Simplify right side
    151,158.52x = 17,349,027,791.18
  5. Step 5: Solve for x
    x = 17,349,027,791.18/151,158.52
  6. Step 6: Final answer
    x = 114,773.73

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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.