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Finding the Fourth Proportional to 254,722.80, 382,060.77 and 86,223.87

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Solution

The fourth proportional to 254,722.80, 382,060.77 and 86,223.87 is: 129,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,722.80 : 382,060.77 = 86,223.87 : x
  2. Step 2: Convert to fraction form
    254,722.80/382,060.77 = 86,223.87/x
  3. Step 3: Cross multiply
    254,722.80x = 382,060.77 × 86,223.87
  4. Step 4: Simplify right side
    254,722.80x = 32,942,758,164.58
  5. Step 5: Solve for x
    x = 32,942,758,164.58/254,722.80
  6. Step 6: Final answer
    x = 129,327.87

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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.