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Finding the Fourth Proportional to 77,225, 106,569.78 and 43,691

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Solution

The fourth proportional to 77,225, 106,569.78 and 43,691 is: 60,293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,225 : 106,569.78 = 43,691 : x
  2. Step 2: Convert to fraction form
    77,225/106,569.78 = 43,691/x
  3. Step 3: Cross multiply
    77,225x = 106,569.78 × 43,691
  4. Step 4: Simplify right side
    77,225x = 4,656,140,257.98
  5. Step 5: Solve for x
    x = 4,656,140,257.98/77,225
  6. Step 6: Final answer
    x = 60,293.17

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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.