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Finding the Fourth Proportional to 78,191.01, 117,192.24 and 36,013.41

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Solution

The fourth proportional to 78,191.01, 117,192.24 and 36,013.41 is: 53,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,191.01 : 117,192.24 = 36,013.41 : x
  2. Step 2: Convert to fraction form
    78,191.01/117,192.24 = 36,013.41/x
  3. Step 3: Cross multiply
    78,191.01x = 117,192.24 × 36,013.41
  4. Step 4: Simplify right side
    78,191.01x = 4,220,492,187.94
  5. Step 5: Solve for x
    x = 4,220,492,187.94/78,191.01
  6. Step 6: Final answer
    x = 53,976.69

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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.