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Finding the Fourth Proportional to 97,879.77, 146,943.57 and 81,440.82

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Solution

The fourth proportional to 97,879.77, 146,943.57 and 81,440.82 is: 122,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,879.77 : 146,943.57 = 81,440.82 : x
  2. Step 2: Convert to fraction form
    97,879.77/146,943.57 = 81,440.82/x
  3. Step 3: Cross multiply
    97,879.77x = 146,943.57 × 81,440.82
  4. Step 4: Simplify right side
    97,879.77x = 11,967,204,834.53
  5. Step 5: Solve for x
    x = 11,967,204,834.53/97,879.77
  6. Step 6: Final answer
    x = 122,264.33

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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.