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Finding the Fourth Proportional to 83,069.76, 124,604 and 20,739.84

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Solution

The fourth proportional to 83,069.76, 124,604 and 20,739.84 is: 31,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,069.76 : 124,604 = 20,739.84 : x
  2. Step 2: Convert to fraction form
    83,069.76/124,604 = 20,739.84/x
  3. Step 3: Cross multiply
    83,069.76x = 124,604 × 20,739.84
  4. Step 4: Simplify right side
    83,069.76x = 2,584,267,023.36
  5. Step 5: Solve for x
    x = 2,584,267,023.36/83,069.76
  6. Step 6: Final answer
    x = 31,109.60

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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.