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Finding the Fourth Proportional to 109,076.97, 150,402.12 and 76,801.27

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Solution

The fourth proportional to 109,076.97, 150,402.12 and 76,801.27 is: 105,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,076.97 : 150,402.12 = 76,801.27 : x
  2. Step 2: Convert to fraction form
    109,076.97/150,402.12 = 76,801.27/x
  3. Step 3: Cross multiply
    109,076.97x = 150,402.12 × 76,801.27
  4. Step 4: Simplify right side
    109,076.97x = 11,551,074,184.95
  5. Step 5: Solve for x
    x = 11,551,074,184.95/109,076.97
  6. Step 6: Final answer
    x = 105,898.37

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1.5x scale

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.