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Finding the Fourth Proportional to 128,115.84, 192,199.68 and 45,016.32

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Solution

The fourth proportional to 128,115.84, 192,199.68 and 45,016.32 is: 67,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,115.84 : 192,199.68 = 45,016.32 : x
  2. Step 2: Convert to fraction form
    128,115.84/192,199.68 = 45,016.32/x
  3. Step 3: Cross multiply
    128,115.84x = 192,199.68 × 45,016.32
  4. Step 4: Simplify right side
    128,115.84x = 8,652,122,298.78
  5. Step 5: Solve for x
    x = 8,652,122,298.78/128,115.84
  6. Step 6: Final answer
    x = 67,533.59

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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.