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Finding the Fourth Proportional to 227,781.84, 341,435 and 77,978

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Solution

The fourth proportional to 227,781.84, 341,435 and 77,978 is: 116,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,781.84 : 341,435 = 77,978 : x
  2. Step 2: Convert to fraction form
    227,781.84/341,435 = 77,978/x
  3. Step 3: Cross multiply
    227,781.84x = 341,435 × 77,978
  4. Step 4: Simplify right side
    227,781.84x = 26,624,418,430
  5. Step 5: Solve for x
    x = 26,624,418,430/227,781.84
  6. Step 6: Final answer
    x = 116,885.61

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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.