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Finding the Fourth Proportional to 72,821.19, 109,186.53 and 30,679.56

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Solution

The fourth proportional to 72,821.19, 109,186.53 and 30,679.56 is: 46,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,821.19 : 109,186.53 = 30,679.56 : x
  2. Step 2: Convert to fraction form
    72,821.19/109,186.53 = 30,679.56/x
  3. Step 3: Cross multiply
    72,821.19x = 109,186.53 × 30,679.56
  4. Step 4: Simplify right side
    72,821.19x = 3,349,794,698.33
  5. Step 5: Solve for x
    x = 3,349,794,698.33/72,821.19
  6. Step 6: Final answer
    x = 46,000.27

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1.5x scale

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.