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Finding the Fourth Proportional to 145,202.76, 217,815.07 and 40,020.81

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Solution

The fourth proportional to 145,202.76, 217,815.07 and 40,020.81 is: 60,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,202.76 : 217,815.07 = 40,020.81 : x
  2. Step 2: Convert to fraction form
    145,202.76/217,815.07 = 40,020.81/x
  3. Step 3: Cross multiply
    145,202.76x = 217,815.07 × 40,020.81
  4. Step 4: Simplify right side
    145,202.76x = 8,717,135,531.61
  5. Step 5: Solve for x
    x = 8,717,135,531.61/145,202.76
  6. Step 6: Final answer
    x = 60,034.23

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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.