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Finding the Fourth Proportional to 78,838.86, 118,277 and 22,677.70

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Solution

The fourth proportional to 78,838.86, 118,277 and 22,677.70 is: 34,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,838.86 : 118,277 = 22,677.70 : x
  2. Step 2: Convert to fraction form
    78,838.86/118,277 = 22,677.70/x
  3. Step 3: Cross multiply
    78,838.86x = 118,277 × 22,677.70
  4. Step 4: Simplify right side
    78,838.86x = 2,682,250,322.90
  5. Step 5: Solve for x
    x = 2,682,250,322.90/78,838.86
  6. Step 6: Final answer
    x = 34,021.93

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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.