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Finding the Fourth Proportional to 126,050, 189,074.99 and 86,487.17

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Solution

The fourth proportional to 126,050, 189,074.99 and 86,487.17 is: 129,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,050 : 189,074.99 = 86,487.17 : x
  2. Step 2: Convert to fraction form
    126,050/189,074.99 = 86,487.17/x
  3. Step 3: Cross multiply
    126,050x = 189,074.99 × 86,487.17
  4. Step 4: Simplify right side
    126,050x = 16,352,560,802.88
  5. Step 5: Solve for x
    x = 16,352,560,802.88/126,050
  6. Step 6: Final answer
    x = 129,730.75

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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.