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Finding the Fourth Proportional to 105,923.76, 146,187.36 and 63,505.68

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Solution

The fourth proportional to 105,923.76, 146,187.36 and 63,505.68 is: 87,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,923.76 : 146,187.36 = 63,505.68 : x
  2. Step 2: Convert to fraction form
    105,923.76/146,187.36 = 63,505.68/x
  3. Step 3: Cross multiply
    105,923.76x = 146,187.36 × 63,505.68
  4. Step 4: Simplify right side
    105,923.76x = 9,283,727,704.20
  5. Step 5: Solve for x
    x = 9,283,727,704.20/105,923.76
  6. Step 6: Final answer
    x = 87,645.38

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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.