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Finding the Fourth Proportional to 78,502.09, 117,754.49 and 22,343.64

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Solution

The fourth proportional to 78,502.09, 117,754.49 and 22,343.64 is: 33,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,502.09 : 117,754.49 = 22,343.64 : x
  2. Step 2: Convert to fraction form
    78,502.09/117,754.49 = 22,343.64/x
  3. Step 3: Cross multiply
    78,502.09x = 117,754.49 × 22,343.64
  4. Step 4: Simplify right side
    78,502.09x = 2,631,063,821.23
  5. Step 5: Solve for x
    x = 2,631,063,821.23/78,502.09
  6. Step 6: Final answer
    x = 33,515.84

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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.