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Finding the Fourth Proportional to 78,189.75, 107,990.96 and 52,995.51

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Solution

The fourth proportional to 78,189.75, 107,990.96 and 52,995.51 is: 73,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189.75 : 107,990.96 = 52,995.51 : x
  2. Step 2: Convert to fraction form
    78,189.75/107,990.96 = 52,995.51/x
  3. Step 3: Cross multiply
    78,189.75x = 107,990.96 × 52,995.51
  4. Step 4: Simplify right side
    78,189.75x = 5,723,035,735.61
  5. Step 5: Solve for x
    x = 5,723,035,735.61/78,189.75
  6. Step 6: Final answer
    x = 73,194.19

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1.5x scale

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.