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Finding the Fourth Proportional to 105,859.32, 146,080.49 and 62,840.65

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Solution

The fourth proportional to 105,859.32, 146,080.49 and 62,840.65 is: 86,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,859.32 : 146,080.49 = 62,840.65 : x
  2. Step 2: Convert to fraction form
    105,859.32/146,080.49 = 62,840.65/x
  3. Step 3: Cross multiply
    105,859.32x = 146,080.49 × 62,840.65
  4. Step 4: Simplify right side
    105,859.32x = 9,179,792,943.92
  5. Step 5: Solve for x
    x = 9,179,792,943.92/105,859.32
  6. Step 6: Final answer
    x = 86,716.91

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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.