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Finding the Fourth Proportional to 98,007.76, 135,193.62 and 71,119

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Solution

The fourth proportional to 98,007.76, 135,193.62 and 71,119 is: 98,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,007.76 : 135,193.62 = 71,119 : x
  2. Step 2: Convert to fraction form
    98,007.76/135,193.62 = 71,119/x
  3. Step 3: Cross multiply
    98,007.76x = 135,193.62 × 71,119
  4. Step 4: Simplify right side
    98,007.76x = 9,614,835,060.78
  5. Step 5: Solve for x
    x = 9,614,835,060.78/98,007.76
  6. Step 6: Final answer
    x = 98,102.79

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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.