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Finding the Fourth Proportional to 78,122.69, 117,027.29 and 35,944.01

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Solution

The fourth proportional to 78,122.69, 117,027.29 and 35,944.01 is: 53,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122.69 : 117,027.29 = 35,944.01 : x
  2. Step 2: Convert to fraction form
    78,122.69/117,027.29 = 35,944.01/x
  3. Step 3: Cross multiply
    78,122.69x = 117,027.29 × 35,944.01
  4. Step 4: Simplify right side
    78,122.69x = 4,206,429,586.76
  5. Step 5: Solve for x
    x = 4,206,429,586.76/78,122.69
  6. Step 6: Final answer
    x = 53,843.89

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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.