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Finding the Fourth Proportional to 67,303.80, 100,842.30 and 53,209.80

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Solution

The fourth proportional to 67,303.80, 100,842.30 and 53,209.80 is: 79,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,303.80 : 100,842.30 = 53,209.80 : x
  2. Step 2: Convert to fraction form
    67,303.80/100,842.30 = 53,209.80/x
  3. Step 3: Cross multiply
    67,303.80x = 100,842.30 × 53,209.80
  4. Step 4: Simplify right side
    67,303.80x = 5,365,798,614.54
  5. Step 5: Solve for x
    x = 5,365,798,614.54/67,303.80
  6. Step 6: Final answer
    x = 79,725.05

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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.