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Finding the Fourth Proportional to 120,016.44, 179,827.02 and 77,894.28

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Solution

The fourth proportional to 120,016.44, 179,827.02 and 77,894.28 is: 116,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,016.44 : 179,827.02 = 77,894.28 : x
  2. Step 2: Convert to fraction form
    120,016.44/179,827.02 = 77,894.28/x
  3. Step 3: Cross multiply
    120,016.44x = 179,827.02 × 77,894.28
  4. Step 4: Simplify right side
    120,016.44x = 14,007,496,247.45
  5. Step 5: Solve for x
    x = 14,007,496,247.45/120,016.44
  6. Step 6: Final answer
    x = 116,713.15

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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.