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Finding the Fourth Proportional to 107,937.40, 161,906.10 and 78,561.40

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Solution

The fourth proportional to 107,937.40, 161,906.10 and 78,561.40 is: 117,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,937.40 : 161,906.10 = 78,561.40 : x
  2. Step 2: Convert to fraction form
    107,937.40/161,906.10 = 78,561.40/x
  3. Step 3: Cross multiply
    107,937.40x = 161,906.10 × 78,561.40
  4. Step 4: Simplify right side
    107,937.40x = 12,719,569,884.54
  5. Step 5: Solve for x
    x = 12,719,569,884.54/107,937.40
  6. Step 6: Final answer
    x = 117,842.10

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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.