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Finding the Fourth Proportional to 70,764.42, 106,129.62 and 20,830.95

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Solution

The fourth proportional to 70,764.42, 106,129.62 and 20,830.95 is: 31,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,764.42 : 106,129.62 = 20,830.95 : x
  2. Step 2: Convert to fraction form
    70,764.42/106,129.62 = 20,830.95/x
  3. Step 3: Cross multiply
    70,764.42x = 106,129.62 × 20,830.95
  4. Step 4: Simplify right side
    70,764.42x = 2,210,780,807.74
  5. Step 5: Solve for x
    x = 2,210,780,807.74/70,764.42
  6. Step 6: Final answer
    x = 31,241.42

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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.