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Finding the Fourth Proportional to 70,474.64, 105,711.96 and 21,226.64

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Solution

The fourth proportional to 70,474.64, 105,711.96 and 21,226.64 is: 31,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,474.64 : 105,711.96 = 21,226.64 : x
  2. Step 2: Convert to fraction form
    70,474.64/105,711.96 = 21,226.64/x
  3. Step 3: Cross multiply
    70,474.64x = 105,711.96 × 21,226.64
  4. Step 4: Simplify right side
    70,474.64x = 2,243,909,718.61
  5. Step 5: Solve for x
    x = 2,243,909,718.61/70,474.64
  6. Step 6: Final answer
    x = 31,839.96

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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.