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Finding the Fourth Proportional to 73,157.80, 109,736.70 and 26,412.20

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Solution

The fourth proportional to 73,157.80, 109,736.70 and 26,412.20 is: 39,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,157.80 : 109,736.70 = 26,412.20 : x
  2. Step 2: Convert to fraction form
    73,157.80/109,736.70 = 26,412.20/x
  3. Step 3: Cross multiply
    73,157.80x = 109,736.70 × 26,412.20
  4. Step 4: Simplify right side
    73,157.80x = 2,898,387,667.74
  5. Step 5: Solve for x
    x = 2,898,387,667.74/73,157.80
  6. Step 6: Final answer
    x = 39,618.30

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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.