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Finding the Fourth Proportional to 98,535.86, 135,819.76 and 76,988.02

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Solution

The fourth proportional to 98,535.86, 135,819.76 and 76,988.02 is: 106,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,535.86 : 135,819.76 = 76,988.02 : x
  2. Step 2: Convert to fraction form
    98,535.86/135,819.76 = 76,988.02/x
  3. Step 3: Cross multiply
    98,535.86x = 135,819.76 × 76,988.02
  4. Step 4: Simplify right side
    98,535.86x = 10,456,494,297.51
  5. Step 5: Solve for x
    x = 10,456,494,297.51/98,535.86
  6. Step 6: Final answer
    x = 106,118.67

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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.