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Finding the Fourth Proportional to 254,646, 382,010.16 and 86,176.56

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Solution

The fourth proportional to 254,646, 382,010.16 and 86,176.56 is: 129,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,646 : 382,010.16 = 86,176.56 : x
  2. Step 2: Convert to fraction form
    254,646/382,010.16 = 86,176.56/x
  3. Step 3: Cross multiply
    254,646x = 382,010.16 × 86,176.56
  4. Step 4: Simplify right side
    254,646x = 32,920,321,473.85
  5. Step 5: Solve for x
    x = 32,920,321,473.85/254,646
  6. Step 6: Final answer
    x = 129,278.77

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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.