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Finding the Fourth Proportional to 70,916.98, 106,375.81 and 20,998.02

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Solution

The fourth proportional to 70,916.98, 106,375.81 and 20,998.02 is: 31,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,916.98 : 106,375.81 = 20,998.02 : x
  2. Step 2: Convert to fraction form
    70,916.98/106,375.81 = 20,998.02/x
  3. Step 3: Cross multiply
    70,916.98x = 106,375.81 × 20,998.02
  4. Step 4: Simplify right side
    70,916.98x = 2,233,681,385.90
  5. Step 5: Solve for x
    x = 2,233,681,385.90/70,916.98
  6. Step 6: Final answer
    x = 31,497.13

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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.