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Finding the Fourth Proportional to 89,705, 123,792.90 and 49,961

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Solution

The fourth proportional to 89,705, 123,792.90 and 49,961 is: 68,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,705 : 123,792.90 = 49,961 : x
  2. Step 2: Convert to fraction form
    89,705/123,792.90 = 49,961/x
  3. Step 3: Cross multiply
    89,705x = 123,792.90 × 49,961
  4. Step 4: Simplify right side
    89,705x = 6,184,817,076.90
  5. Step 5: Solve for x
    x = 6,184,817,076.90/89,705
  6. Step 6: Final answer
    x = 68,946.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.