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Finding the Fourth Proportional to 71,292.31, 106,930.25 and 18,705.89

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Solution

The fourth proportional to 71,292.31, 106,930.25 and 18,705.89 is: 28,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,292.31 : 106,930.25 = 18,705.89 : x
  2. Step 2: Convert to fraction form
    71,292.31/106,930.25 = 18,705.89/x
  3. Step 3: Cross multiply
    71,292.31x = 106,930.25 × 18,705.89
  4. Step 4: Simplify right side
    71,292.31x = 2,000,225,667.97
  5. Step 5: Solve for x
    x = 2,000,225,667.97/71,292.31
  6. Step 6: Final answer
    x = 28,056.68

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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.