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Finding the Fourth Proportional to 72,899.80, 109,346.46 and 20,308.12

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Solution

The fourth proportional to 72,899.80, 109,346.46 and 20,308.12 is: 30,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,899.80 : 109,346.46 = 20,308.12 : x
  2. Step 2: Convert to fraction form
    72,899.80/109,346.46 = 20,308.12/x
  3. Step 3: Cross multiply
    72,899.80x = 109,346.46 × 20,308.12
  4. Step 4: Simplify right side
    72,899.80x = 2,220,621,031.26
  5. Step 5: Solve for x
    x = 2,220,621,031.26/72,899.80
  6. Step 6: Final answer
    x = 30,461.28

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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.