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Finding the Fourth Proportional to 220,701.29, 331,084.87 and 102,384.59

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Solution

The fourth proportional to 220,701.29, 331,084.87 and 102,384.59 is: 153,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,701.29 : 331,084.87 = 102,384.59 : x
  2. Step 2: Convert to fraction form
    220,701.29/331,084.87 = 102,384.59/x
  3. Step 3: Cross multiply
    220,701.29x = 331,084.87 × 102,384.59
  4. Step 4: Simplify right side
    220,701.29x = 33,897,986,758.77
  5. Step 5: Solve for x
    x = 33,897,986,758.77/220,701.29
  6. Step 6: Final answer
    x = 153,592.16

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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.