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Finding the Fourth Proportional to 138,652.88, 207,432.11 and 105,015.82

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Solution

The fourth proportional to 138,652.88, 207,432.11 and 105,015.82 is: 157,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,652.88 : 207,432.11 = 105,015.82 : x
  2. Step 2: Convert to fraction form
    138,652.88/207,432.11 = 105,015.82/x
  3. Step 3: Cross multiply
    138,652.88x = 207,432.11 × 105,015.82
  4. Step 4: Simplify right side
    138,652.88x = 21,783,651,563.74
  5. Step 5: Solve for x
    x = 21,783,651,563.74/138,652.88
  6. Step 6: Final answer
    x = 157,109.26

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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.