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Finding the Fourth Proportional to 48,448, 72,683.52 and 15,616

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Solution

The fourth proportional to 48,448, 72,683.52 and 15,616 is: 23,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448 : 72,683.52 = 15,616 : x
  2. Step 2: Convert to fraction form
    48,448/72,683.52 = 15,616/x
  3. Step 3: Cross multiply
    48,448x = 72,683.52 × 15,616
  4. Step 4: Simplify right side
    48,448x = 1,135,025,848.32
  5. Step 5: Solve for x
    x = 1,135,025,848.32/48,448
  6. Step 6: Final answer
    x = 23,427.71

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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.