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Finding the Fourth Proportional to 220,684, 304,548.80 and 120,082

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Solution

The fourth proportional to 220,684, 304,548.80 and 120,082 is: 165,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,684 : 304,548.80 = 120,082 : x
  2. Step 2: Convert to fraction form
    220,684/304,548.80 = 120,082/x
  3. Step 3: Cross multiply
    220,684x = 304,548.80 × 120,082
  4. Step 4: Simplify right side
    220,684x = 36,570,829,001.60
  5. Step 5: Solve for x
    x = 36,570,829,001.60/220,684
  6. Step 6: Final answer
    x = 165,715.82

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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.