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Finding the Fourth Proportional to 254,699.48, 382,027.21 and 86,216.20

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Solution

The fourth proportional to 254,699.48, 382,027.21 and 86,216.20 is: 129,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,699.48 : 382,027.21 = 86,216.20 : x
  2. Step 2: Convert to fraction form
    254,699.48/382,027.21 = 86,216.20/x
  3. Step 3: Cross multiply
    254,699.48x = 382,027.21 × 86,216.20
  4. Step 4: Simplify right side
    254,699.48x = 32,936,934,342.80
  5. Step 5: Solve for x
    x = 32,936,934,342.80/254,699.48
  6. Step 6: Final answer
    x = 129,316.85

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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.