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Finding the Fourth Proportional to 70,437.87, 105,657.97 and 19,838.12

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Solution

The fourth proportional to 70,437.87, 105,657.97 and 19,838.12 is: 29,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,437.87 : 105,657.97 = 19,838.12 : x
  2. Step 2: Convert to fraction form
    70,437.87/105,657.97 = 19,838.12/x
  3. Step 3: Cross multiply
    70,437.87x = 105,657.97 × 19,838.12
  4. Step 4: Simplify right side
    70,437.87x = 2,096,055,487.82
  5. Step 5: Solve for x
    x = 2,096,055,487.82/70,437.87
  6. Step 6: Final answer
    x = 29,757.51

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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.