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Finding the Fourth Proportional to 109,997.70, 164,704.95 and 86,669.70

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Solution

The fourth proportional to 109,997.70, 164,704.95 and 86,669.70 is: 129,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,997.70 : 164,704.95 = 86,669.70 : x
  2. Step 2: Convert to fraction form
    109,997.70/164,704.95 = 86,669.70/x
  3. Step 3: Cross multiply
    109,997.70x = 164,704.95 × 86,669.70
  4. Step 4: Simplify right side
    109,997.70x = 14,274,928,605.02
  5. Step 5: Solve for x
    x = 14,274,928,605.02/109,997.70
  6. Step 6: Final answer
    x = 129,774.79

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1.5x scale

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.