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Finding the Fourth Proportional to 88,144, 121,638.72 and 48,400

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Solution

The fourth proportional to 88,144, 121,638.72 and 48,400 is: 66,792

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,144 : 121,638.72 = 48,400 : x
  2. Step 2: Convert to fraction form
    88,144/121,638.72 = 48,400/x
  3. Step 3: Cross multiply
    88,144x = 121,638.72 × 48,400
  4. Step 4: Simplify right side
    88,144x = 5,887,314,048
  5. Step 5: Solve for x
    x = 5,887,314,048/88,144
  6. Step 6: Final answer
    x = 66,792

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.