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Finding the Fourth Proportional to 70,655.40, 105,964.32 and 20,722.08

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Solution

The fourth proportional to 70,655.40, 105,964.32 and 20,722.08 is: 31,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,655.40 : 105,964.32 = 20,722.08 : x
  2. Step 2: Convert to fraction form
    70,655.40/105,964.32 = 20,722.08/x
  3. Step 3: Cross multiply
    70,655.40x = 105,964.32 × 20,722.08
  4. Step 4: Simplify right side
    70,655.40x = 2,195,801,116.19
  5. Step 5: Solve for x
    x = 2,195,801,116.19/70,655.40
  6. Step 6: Final answer
    x = 31,077.61

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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.