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Finding the Fourth Proportional to 92,105, 138,189.92 and 45,390.68

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Solution

The fourth proportional to 92,105, 138,189.92 and 45,390.68 is: 68,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,105 : 138,189.92 = 45,390.68 : x
  2. Step 2: Convert to fraction form
    92,105/138,189.92 = 45,390.68/x
  3. Step 3: Cross multiply
    92,105x = 138,189.92 × 45,390.68
  4. Step 4: Simplify right side
    92,105x = 6,272,534,437.95
  5. Step 5: Solve for x
    x = 6,272,534,437.95/92,105
  6. Step 6: Final answer
    x = 68,102.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.