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Finding the Fourth Proportional to 220,838.16, 304,756.66 and 120,236.16

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Solution

The fourth proportional to 220,838.16, 304,756.66 and 120,236.16 is: 165,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,838.16 : 304,756.66 = 120,236.16 : x
  2. Step 2: Convert to fraction form
    220,838.16/304,756.66 = 120,236.16/x
  3. Step 3: Cross multiply
    220,838.16x = 304,756.66 × 120,236.16
  4. Step 4: Simplify right side
    220,838.16x = 36,642,770,532.83
  5. Step 5: Solve for x
    x = 36,642,770,532.83/220,838.16
  6. Step 6: Final answer
    x = 165,925.90

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