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Finding the Fourth Proportional to 220,282.50, 303,990.66 and 119,680.50

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Solution

The fourth proportional to 220,282.50, 303,990.66 and 119,680.50 is: 165,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,282.50 : 303,990.66 = 119,680.50 : x
  2. Step 2: Convert to fraction form
    220,282.50/303,990.66 = 119,680.50/x
  3. Step 3: Cross multiply
    220,282.50x = 303,990.66 × 119,680.50
  4. Step 4: Simplify right side
    220,282.50x = 36,381,754,184.13
  5. Step 5: Solve for x
    x = 36,381,754,184.13/220,282.50
  6. Step 6: Final answer
    x = 165,159.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.