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Finding the Fourth Proportional to 139,914.30, 209,841.54 and 40,047.68

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Solution

The fourth proportional to 139,914.30, 209,841.54 and 40,047.68 is: 60,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,914.30 : 209,841.54 = 40,047.68 : x
  2. Step 2: Convert to fraction form
    139,914.30/209,841.54 = 40,047.68/x
  3. Step 3: Cross multiply
    139,914.30x = 209,841.54 × 40,047.68
  4. Step 4: Simplify right side
    139,914.30x = 8,403,667,219.05
  5. Step 5: Solve for x
    x = 8,403,667,219.05/139,914.30
  6. Step 6: Final answer
    x = 60,062.96

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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.