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Finding the Fourth Proportional to 142,314.87, 213,468.62 and 46,251.54

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Solution

The fourth proportional to 142,314.87, 213,468.62 and 46,251.54 is: 69,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,314.87 : 213,468.62 = 46,251.54 : x
  2. Step 2: Convert to fraction form
    142,314.87/213,468.62 = 46,251.54/x
  3. Step 3: Cross multiply
    142,314.87x = 213,468.62 × 46,251.54
  4. Step 4: Simplify right side
    142,314.87x = 9,873,252,960.05
  5. Step 5: Solve for x
    x = 9,873,252,960.05/142,314.87
  6. Step 6: Final answer
    x = 69,376.12

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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.