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Finding the Fourth Proportional to 70,480.54, 105,709.56 and 20,548.96

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Solution

The fourth proportional to 70,480.54, 105,709.56 and 20,548.96 is: 30,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,480.54 : 105,709.56 = 20,548.96 : x
  2. Step 2: Convert to fraction form
    70,480.54/105,709.56 = 20,548.96/x
  3. Step 3: Cross multiply
    70,480.54x = 105,709.56 × 20,548.96
  4. Step 4: Simplify right side
    70,480.54x = 2,172,221,773.34
  5. Step 5: Solve for x
    x = 2,172,221,773.34/70,480.54
  6. Step 6: Final answer
    x = 30,820.16

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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.