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Finding the Fourth Proportional to 70,955.64, 106,449.12 and 21,039.72

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Solution

The fourth proportional to 70,955.64, 106,449.12 and 21,039.72 is: 31,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,955.64 : 106,449.12 = 21,039.72 : x
  2. Step 2: Convert to fraction form
    70,955.64/106,449.12 = 21,039.72/x
  3. Step 3: Cross multiply
    70,955.64x = 106,449.12 × 21,039.72
  4. Step 4: Simplify right side
    70,955.64x = 2,239,659,679.05
  5. Step 5: Solve for x
    x = 2,239,659,679.05/70,955.64
  6. Step 6: Final answer
    x = 31,564.22

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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.