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Finding the Fourth Proportional to 70,734.84, 106,102.32 and 18,144.33

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Solution

The fourth proportional to 70,734.84, 106,102.32 and 18,144.33 is: 27,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,734.84 : 106,102.32 = 18,144.33 : x
  2. Step 2: Convert to fraction form
    70,734.84/106,102.32 = 18,144.33/x
  3. Step 3: Cross multiply
    70,734.84x = 106,102.32 × 18,144.33
  4. Step 4: Simplify right side
    70,734.84x = 1,925,155,507.85
  5. Step 5: Solve for x
    x = 1,925,155,507.85/70,734.84
  6. Step 6: Final answer
    x = 27,216.51

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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.