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Finding the Fourth Proportional to 120,395.84, 166,145.84 and 69,408.32

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Solution

The fourth proportional to 120,395.84, 166,145.84 and 69,408.32 is: 95,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,395.84 : 166,145.84 = 69,408.32 : x
  2. Step 2: Convert to fraction form
    120,395.84/166,145.84 = 69,408.32/x
  3. Step 3: Cross multiply
    120,395.84x = 166,145.84 × 69,408.32
  4. Step 4: Simplify right side
    120,395.84x = 11,531,903,282.35
  5. Step 5: Solve for x
    x = 11,531,903,282.35/120,395.84
  6. Step 6: Final answer
    x = 95,783.24

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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.