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Finding the Fourth Proportional to 202,169.61, 278,997.30 and 111,523.95

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Solution

The fourth proportional to 202,169.61, 278,997.30 and 111,523.95 is: 153,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,169.61 : 278,997.30 = 111,523.95 : x
  2. Step 2: Convert to fraction form
    202,169.61/278,997.30 = 111,523.95/x
  3. Step 3: Cross multiply
    202,169.61x = 278,997.30 × 111,523.95
  4. Step 4: Simplify right side
    202,169.61x = 31,114,880,935.34
  5. Step 5: Solve for x
    x = 31,114,880,935.34/202,169.61
  6. Step 6: Final answer
    x = 153,904.84

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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.