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Finding the Fourth Proportional to 76,384.92, 114,562.14 and 25,779

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Solution

The fourth proportional to 76,384.92, 114,562.14 and 25,779 is: 38,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,384.92 : 114,562.14 = 25,779 : x
  2. Step 2: Convert to fraction form
    76,384.92/114,562.14 = 25,779/x
  3. Step 3: Cross multiply
    76,384.92x = 114,562.14 × 25,779
  4. Step 4: Simplify right side
    76,384.92x = 2,953,297,407.06
  5. Step 5: Solve for x
    x = 2,953,297,407.06/76,384.92
  6. Step 6: Final answer
    x = 38,663.36

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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.