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Finding the Fourth Proportional to 126,428.80, 189,643.20 and 120,596.80

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Solution

The fourth proportional to 126,428.80, 189,643.20 and 120,596.80 is: 180,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,428.80 : 189,643.20 = 120,596.80 : x
  2. Step 2: Convert to fraction form
    126,428.80/189,643.20 = 120,596.80/x
  3. Step 3: Cross multiply
    126,428.80x = 189,643.20 × 120,596.80
  4. Step 4: Simplify right side
    126,428.80x = 22,870,363,061.76
  5. Step 5: Solve for x
    x = 22,870,363,061.76/126,428.80
  6. Step 6: Final answer
    x = 180,895.20

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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.