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Finding the Fourth Proportional to 142,993.78, 214,422.48 and 52,974.74

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Solution

The fourth proportional to 142,993.78, 214,422.48 and 52,974.74 is: 79,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,993.78 : 214,422.48 = 52,974.74 : x
  2. Step 2: Convert to fraction form
    142,993.78/214,422.48 = 52,974.74/x
  3. Step 3: Cross multiply
    142,993.78x = 214,422.48 × 52,974.74
  4. Step 4: Simplify right side
    142,993.78x = 11,358,975,664.21
  5. Step 5: Solve for x
    x = 11,358,975,664.21/142,993.78
  6. Step 6: Final answer
    x = 79,436.85

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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.