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Finding the Fourth Proportional to 215,870.70, 323,806.05 and 137,138.70

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Solution

The fourth proportional to 215,870.70, 323,806.05 and 137,138.70 is: 205,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,870.70 : 323,806.05 = 137,138.70 : x
  2. Step 2: Convert to fraction form
    215,870.70/323,806.05 = 137,138.70/x
  3. Step 3: Cross multiply
    215,870.70x = 323,806.05 × 137,138.70
  4. Step 4: Simplify right side
    215,870.70x = 44,406,340,749.14
  5. Step 5: Solve for x
    x = 44,406,340,749.14/215,870.70
  6. Step 6: Final answer
    x = 205,708.05

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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.