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Finding the Fourth Proportional to 254,872.69, 382,284.34 and 77,381.24

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Solution

The fourth proportional to 254,872.69, 382,284.34 and 77,381.24 is: 116,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,872.69 : 382,284.34 = 77,381.24 : x
  2. Step 2: Convert to fraction form
    254,872.69/382,284.34 = 77,381.24/x
  3. Step 3: Cross multiply
    254,872.69x = 382,284.34 × 77,381.24
  4. Step 4: Simplify right side
    254,872.69x = 29,581,634,156.91
  5. Step 5: Solve for x
    x = 29,581,634,156.91/254,872.69
  6. Step 6: Final answer
    x = 116,064.36

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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.