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Finding the Fourth Proportional to 70,697.88, 106,020.84 and 20,765.16

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Solution

The fourth proportional to 70,697.88, 106,020.84 and 20,765.16 is: 31,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,697.88 : 106,020.84 = 20,765.16 : x
  2. Step 2: Convert to fraction form
    70,697.88/106,020.84 = 20,765.16/x
  3. Step 3: Cross multiply
    70,697.88x = 106,020.84 × 20,765.16
  4. Step 4: Simplify right side
    70,697.88x = 2,201,539,705.93
  5. Step 5: Solve for x
    x = 2,201,539,705.93/70,697.88
  6. Step 6: Final answer
    x = 31,140.11

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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.