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Finding the Fourth Proportional to 122,016.80, 183,102.96 and 51,896

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Solution

The fourth proportional to 122,016.80, 183,102.96 and 51,896 is: 77,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,016.80 : 183,102.96 = 51,896 : x
  2. Step 2: Convert to fraction form
    122,016.80/183,102.96 = 51,896/x
  3. Step 3: Cross multiply
    122,016.80x = 183,102.96 × 51,896
  4. Step 4: Simplify right side
    122,016.80x = 9,502,311,212.16
  5. Step 5: Solve for x
    x = 9,502,311,212.16/122,016.80
  6. Step 6: Final answer
    x = 77,877.07

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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.