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Finding the Fourth Proportional to 78,201.68, 107,911.71 and 44,213.27

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Solution

The fourth proportional to 78,201.68, 107,911.71 and 44,213.27 is: 61,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,201.68 : 107,911.71 = 44,213.27 : x
  2. Step 2: Convert to fraction form
    78,201.68/107,911.71 = 44,213.27/x
  3. Step 3: Cross multiply
    78,201.68x = 107,911.71 × 44,213.27
  4. Step 4: Simplify right side
    78,201.68x = 4,771,129,030.83
  5. Step 5: Solve for x
    x = 4,771,129,030.83/78,201.68
  6. Step 6: Final answer
    x = 61,010.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.