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Finding the Fourth Proportional to 202,065.67, 278,946.27 and 117,151.75

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Solution

The fourth proportional to 202,065.67, 278,946.27 and 117,151.75 is: 161,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,065.67 : 278,946.27 = 117,151.75 : x
  2. Step 2: Convert to fraction form
    202,065.67/278,946.27 = 117,151.75/x
  3. Step 3: Cross multiply
    202,065.67x = 278,946.27 × 117,151.75
  4. Step 4: Simplify right side
    202,065.67x = 32,679,041,705.98
  5. Step 5: Solve for x
    x = 32,679,041,705.98/202,065.67
  6. Step 6: Final answer
    x = 161,724.86

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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.