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Finding the Fourth Proportional to 70,817.66, 106,248.96 and 20,898

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Solution

The fourth proportional to 70,817.66, 106,248.96 and 20,898 is: 31,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,817.66 : 106,248.96 = 20,898 : x
  2. Step 2: Convert to fraction form
    70,817.66/106,248.96 = 20,898/x
  3. Step 3: Cross multiply
    70,817.66x = 106,248.96 × 20,898
  4. Step 4: Simplify right side
    70,817.66x = 2,220,390,766.08
  5. Step 5: Solve for x
    x = 2,220,390,766.08/70,817.66
  6. Step 6: Final answer
    x = 31,353.63

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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.