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Finding the Fourth Proportional to 100,697.84, 151,097.64 and 71,304.56

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Solution

The fourth proportional to 100,697.84, 151,097.64 and 71,304.56 is: 106,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,697.84 : 151,097.64 = 71,304.56 : x
  2. Step 2: Convert to fraction form
    100,697.84/151,097.64 = 71,304.56/x
  3. Step 3: Cross multiply
    100,697.84x = 151,097.64 × 71,304.56
  4. Step 4: Simplify right side
    100,697.84x = 10,773,950,737.24
  5. Step 5: Solve for x
    x = 10,773,950,737.24/100,697.84
  6. Step 6: Final answer
    x = 106,992.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.