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Finding the Fourth Proportional to 307,720.80, 461,581.20 and 86,104.80

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Solution

The fourth proportional to 307,720.80, 461,581.20 and 86,104.80 is: 129,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,720.80 : 461,581.20 = 86,104.80 : x
  2. Step 2: Convert to fraction form
    307,720.80/461,581.20 = 86,104.80/x
  3. Step 3: Cross multiply
    307,720.80x = 461,581.20 × 86,104.80
  4. Step 4: Simplify right side
    307,720.80x = 39,744,356,909.76
  5. Step 5: Solve for x
    x = 39,744,356,909.76/307,720.80
  6. Step 6: Final answer
    x = 129,157.20

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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.