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Finding the Fourth Proportional to 101,110.08, 151,664.37 and 78,942

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Solution

The fourth proportional to 101,110.08, 151,664.37 and 78,942 is: 118,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,110.08 : 151,664.37 = 78,942 : x
  2. Step 2: Convert to fraction form
    101,110.08/151,664.37 = 78,942/x
  3. Step 3: Cross multiply
    101,110.08x = 151,664.37 × 78,942
  4. Step 4: Simplify right side
    101,110.08x = 11,972,688,696.54
  5. Step 5: Solve for x
    x = 11,972,688,696.54/101,110.08
  6. Step 6: Final answer
    x = 118,412.41

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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.