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Finding the Fourth Proportional to 138,152, 207,233.40 and 43,446.80

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Solution

The fourth proportional to 138,152, 207,233.40 and 43,446.80 is: 65,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,152 : 207,233.40 = 43,446.80 : x
  2. Step 2: Convert to fraction form
    138,152/207,233.40 = 43,446.80/x
  3. Step 3: Cross multiply
    138,152x = 207,233.40 × 43,446.80
  4. Step 4: Simplify right side
    138,152x = 9,003,628,083.12
  5. Step 5: Solve for x
    x = 9,003,628,083.12/138,152
  6. Step 6: Final answer
    x = 65,171.90

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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.