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Finding the Fourth Proportional to 109,415.70, 164,123.55 and 47,086.20

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Solution

The fourth proportional to 109,415.70, 164,123.55 and 47,086.20 is: 70,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,415.70 : 164,123.55 = 47,086.20 : x
  2. Step 2: Convert to fraction form
    109,415.70/164,123.55 = 47,086.20/x
  3. Step 3: Cross multiply
    109,415.70x = 164,123.55 × 47,086.20
  4. Step 4: Simplify right side
    109,415.70x = 7,727,954,300.01
  5. Step 5: Solve for x
    x = 7,727,954,300.01/109,415.70
  6. Step 6: Final answer
    x = 70,629.30

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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.