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Finding the Fourth Proportional to 167,409.72, 252,265.46 and 138,475.71

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Solution

The fourth proportional to 167,409.72, 252,265.46 and 138,475.71 is: 208,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,409.72 : 252,265.46 = 138,475.71 : x
  2. Step 2: Convert to fraction form
    167,409.72/252,265.46 = 138,475.71/x
  3. Step 3: Cross multiply
    167,409.72x = 252,265.46 × 138,475.71
  4. Step 4: Simplify right side
    167,409.72x = 34,932,637,989.60
  5. Step 5: Solve for x
    x = 34,932,637,989.60/167,409.72
  6. Step 6: Final answer
    x = 208,665.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.