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Finding the Fourth Proportional to 252,040.41, 347,815.61 and 138,863.16

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Solution

The fourth proportional to 252,040.41, 347,815.61 and 138,863.16 is: 191,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,040.41 : 347,815.61 = 138,863.16 : x
  2. Step 2: Convert to fraction form
    252,040.41/347,815.61 = 138,863.16/x
  3. Step 3: Cross multiply
    252,040.41x = 347,815.61 × 138,863.16
  4. Step 4: Simplify right side
    252,040.41x = 48,298,774,528.35
  5. Step 5: Solve for x
    x = 48,298,774,528.35/252,040.41
  6. Step 6: Final answer
    x = 191,631.07

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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.