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Finding the Fourth Proportional to 98,538.86, 135,823.91 and 76,991.01

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Solution

The fourth proportional to 98,538.86, 135,823.91 and 76,991.01 is: 106,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,538.86 : 135,823.91 = 76,991.01 : x
  2. Step 2: Convert to fraction form
    98,538.86/135,823.91 = 76,991.01/x
  3. Step 3: Cross multiply
    98,538.86x = 135,823.91 × 76,991.01
  4. Step 4: Simplify right side
    98,538.86x = 10,457,219,628.09
  5. Step 5: Solve for x
    x = 10,457,219,628.09/98,538.86
  6. Step 6: Final answer
    x = 106,122.80

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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.