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Finding the Fourth Proportional to 48,116, 72,168.32 and 18,512.94

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Solution

The fourth proportional to 48,116, 72,168.32 and 18,512.94 is: 27,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,116 : 72,168.32 = 18,512.94 : x
  2. Step 2: Convert to fraction form
    48,116/72,168.32 = 18,512.94/x
  3. Step 3: Cross multiply
    48,116x = 72,168.32 × 18,512.94
  4. Step 4: Simplify right side
    48,116x = 1,336,047,778.06
  5. Step 5: Solve for x
    x = 1,336,047,778.06/48,116
  6. Step 6: Final answer
    x = 27,767.22

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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.