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Finding the Fourth Proportional to 220,668.96, 304,527.12 and 120,068.64

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Solution

The fourth proportional to 220,668.96, 304,527.12 and 120,068.64 is: 165,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,668.96 : 304,527.12 = 120,068.64 : x
  2. Step 2: Convert to fraction form
    220,668.96/304,527.12 = 120,068.64/x
  3. Step 3: Cross multiply
    220,668.96x = 304,527.12 × 120,068.64
  4. Step 4: Simplify right side
    220,668.96x = 36,564,157,141.52
  5. Step 5: Solve for x
    x = 36,564,157,141.52/220,668.96
  6. Step 6: Final answer
    x = 165,696.88

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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.