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Finding the Fourth Proportional to 202,165.71, 278,990.73 and 111,524.87

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Solution

The fourth proportional to 202,165.71, 278,990.73 and 111,524.87 is: 153,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,165.71 : 278,990.73 = 111,524.87 : x
  2. Step 2: Convert to fraction form
    202,165.71/278,990.73 = 111,524.87/x
  3. Step 3: Cross multiply
    202,165.71x = 278,990.73 × 111,524.87
  4. Step 4: Simplify right side
    202,165.71x = 31,114,403,499.50
  5. Step 5: Solve for x
    x = 31,114,403,499.50/202,165.71
  6. Step 6: Final answer
    x = 153,905.44

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1.5x scale

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.