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Finding the Fourth Proportional to 254,891.72, 382,098.72 and 86,294.36

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Solution

The fourth proportional to 254,891.72, 382,098.72 and 86,294.36 is: 129,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,891.72 : 382,098.72 = 86,294.36 : x
  2. Step 2: Convert to fraction form
    254,891.72/382,098.72 = 86,294.36/x
  3. Step 3: Cross multiply
    254,891.72x = 382,098.72 × 86,294.36
  4. Step 4: Simplify right side
    254,891.72x = 32,972,964,499.22
  5. Step 5: Solve for x
    x = 32,972,964,499.22/254,891.72
  6. Step 6: Final answer
    x = 129,360.67

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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.