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Finding the Fourth Proportional to 106,997.52, 159,793.68 and 85,969.52

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Solution

The fourth proportional to 106,997.52, 159,793.68 and 85,969.52 is: 128,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997.52 : 159,793.68 = 85,969.52 : x
  2. Step 2: Convert to fraction form
    106,997.52/159,793.68 = 85,969.52/x
  3. Step 3: Cross multiply
    106,997.52x = 159,793.68 × 85,969.52
  4. Step 4: Simplify right side
    106,997.52x = 13,737,385,968.63
  5. Step 5: Solve for x
    x = 13,737,385,968.63/106,997.52
  6. Step 6: Final answer
    x = 128,389.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.