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Finding the Fourth Proportional to 141,806.16, 212,840.46 and 71,734.68

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Solution

The fourth proportional to 141,806.16, 212,840.46 and 71,734.68 is: 107,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,806.16 : 212,840.46 = 71,734.68 : x
  2. Step 2: Convert to fraction form
    141,806.16/212,840.46 = 71,734.68/x
  3. Step 3: Cross multiply
    141,806.16x = 212,840.46 × 71,734.68
  4. Step 4: Simplify right side
    141,806.16x = 15,268,042,289.15
  5. Step 5: Solve for x
    x = 15,268,042,289.15/141,806.16
  6. Step 6: Final answer
    x = 107,668.40

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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.