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Finding the Fourth Proportional to 92,106, 138,191.42 and 45,391.68

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Solution

The fourth proportional to 92,106, 138,191.42 and 45,391.68 is: 68,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,106 : 138,191.42 = 45,391.68 : x
  2. Step 2: Convert to fraction form
    92,106/138,191.42 = 45,391.68/x
  3. Step 3: Cross multiply
    92,106x = 138,191.42 × 45,391.68
  4. Step 4: Simplify right side
    92,106x = 6,272,740,715.39
  5. Step 5: Solve for x
    x = 6,272,740,715.39/92,106
  6. Step 6: Final answer
    x = 68,103.50

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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.