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Finding the Fourth Proportional to 179,853, 248,197.14 and 100,365

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Solution

The fourth proportional to 179,853, 248,197.14 and 100,365 is: 138,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,853 : 248,197.14 = 100,365 : x
  2. Step 2: Convert to fraction form
    179,853/248,197.14 = 100,365/x
  3. Step 3: Cross multiply
    179,853x = 248,197.14 × 100,365
  4. Step 4: Simplify right side
    179,853x = 24,910,305,956.10
  5. Step 5: Solve for x
    x = 24,910,305,956.10/179,853
  6. Step 6: Final answer
    x = 138,503.70

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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.