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Finding the Fourth Proportional to 227,779.84, 341,432 and 77,976

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Solution

The fourth proportional to 227,779.84, 341,432 and 77,976 is: 116,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,779.84 : 341,432 = 77,976 : x
  2. Step 2: Convert to fraction form
    227,779.84/341,432 = 77,976/x
  3. Step 3: Cross multiply
    227,779.84x = 341,432 × 77,976
  4. Step 4: Simplify right side
    227,779.84x = 26,623,501,632
  5. Step 5: Solve for x
    x = 26,623,501,632/227,779.84
  6. Step 6: Final answer
    x = 116,882.61

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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.