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Finding the Fourth Proportional to 99,400, 137,172 and 54,688

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Solution

The fourth proportional to 99,400, 137,172 and 54,688 is: 75,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,400 : 137,172 = 54,688 : x
  2. Step 2: Convert to fraction form
    99,400/137,172 = 54,688/x
  3. Step 3: Cross multiply
    99,400x = 137,172 × 54,688
  4. Step 4: Simplify right side
    99,400x = 7,501,662,336
  5. Step 5: Solve for x
    x = 7,501,662,336/99,400
  6. Step 6: Final answer
    x = 75,469.44

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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.