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Finding the Fourth Proportional to 70,149.78, 105,240.21 and 20,225.98

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Solution

The fourth proportional to 70,149.78, 105,240.21 and 20,225.98 is: 30,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,149.78 : 105,240.21 = 20,225.98 : x
  2. Step 2: Convert to fraction form
    70,149.78/105,240.21 = 20,225.98/x
  3. Step 3: Cross multiply
    70,149.78x = 105,240.21 × 20,225.98
  4. Step 4: Simplify right side
    70,149.78x = 2,128,586,382.66
  5. Step 5: Solve for x
    x = 2,128,586,382.66/70,149.78
  6. Step 6: Final answer
    x = 30,343.45

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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.