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Finding the Fourth Proportional to 105,661.76, 145,828.18 and 65,388.49

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Solution

The fourth proportional to 105,661.76, 145,828.18 and 65,388.49 is: 90,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,661.76 : 145,828.18 = 65,388.49 : x
  2. Step 2: Convert to fraction form
    105,661.76/145,828.18 = 65,388.49/x
  3. Step 3: Cross multiply
    105,661.76x = 145,828.18 × 65,388.49
  4. Step 4: Simplify right side
    105,661.76x = 9,535,484,489.65
  5. Step 5: Solve for x
    x = 9,535,484,489.65/105,661.76
  6. Step 6: Final answer
    x = 90,245.37

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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.