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Finding the Fourth Proportional to 142,305.56, 213,458.32 and 53,578.96

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Solution

The fourth proportional to 142,305.56, 213,458.32 and 53,578.96 is: 80,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,305.56 : 213,458.32 = 53,578.96 : x
  2. Step 2: Convert to fraction form
    142,305.56/213,458.32 = 53,578.96/x
  3. Step 3: Cross multiply
    142,305.56x = 213,458.32 × 53,578.96
  4. Step 4: Simplify right side
    142,305.56x = 11,436,874,788.95
  5. Step 5: Solve for x
    x = 11,436,874,788.95/142,305.56
  6. Step 6: Final answer
    x = 80,368.43

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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.