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Finding the Fourth Proportional to 70,768.56, 106,153.75 and 20,837.30

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Solution

The fourth proportional to 70,768.56, 106,153.75 and 20,837.30 is: 31,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,768.56 : 106,153.75 = 20,837.30 : x
  2. Step 2: Convert to fraction form
    70,768.56/106,153.75 = 20,837.30/x
  3. Step 3: Cross multiply
    70,768.56x = 106,153.75 × 20,837.30
  4. Step 4: Simplify right side
    70,768.56x = 2,211,957,482.78
  5. Step 5: Solve for x
    x = 2,211,957,482.78/70,768.56
  6. Step 6: Final answer
    x = 31,256.22

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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.