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Finding the Fourth Proportional to 202,189.85, 303,323.65 and 77,521.13

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Solution

The fourth proportional to 202,189.85, 303,323.65 and 77,521.13 is: 116,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,189.85 : 303,323.65 = 77,521.13 : x
  2. Step 2: Convert to fraction form
    202,189.85/303,323.65 = 77,521.13/x
  3. Step 3: Cross multiply
    202,189.85x = 303,323.65 × 77,521.13
  4. Step 4: Simplify right side
    202,189.85x = 23,513,990,393.30
  5. Step 5: Solve for x
    x = 23,513,990,393.30/202,189.85
  6. Step 6: Final answer
    x = 116,296.59

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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.