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Finding the Fourth Proportional to 70,506.40, 105,764.40 and 22,471.20

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Solution

The fourth proportional to 70,506.40, 105,764.40 and 22,471.20 is: 33,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506.40 : 105,764.40 = 22,471.20 : x
  2. Step 2: Convert to fraction form
    70,506.40/105,764.40 = 22,471.20/x
  3. Step 3: Cross multiply
    70,506.40x = 105,764.40 × 22,471.20
  4. Step 4: Simplify right side
    70,506.40x = 2,376,652,985.28
  5. Step 5: Solve for x
    x = 2,376,652,985.28/70,506.40
  6. Step 6: Final answer
    x = 33,708.33

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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.