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Finding the Fourth Proportional to 202,145.40, 303,218.10 and 139,159.80

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Solution

The fourth proportional to 202,145.40, 303,218.10 and 139,159.80 is: 208,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,145.40 : 303,218.10 = 139,159.80 : x
  2. Step 2: Convert to fraction form
    202,145.40/303,218.10 = 139,159.80/x
  3. Step 3: Cross multiply
    202,145.40x = 303,218.10 × 139,159.80
  4. Step 4: Simplify right side
    202,145.40x = 42,195,770,152.38
  5. Step 5: Solve for x
    x = 42,195,770,152.38/202,145.40
  6. Step 6: Final answer
    x = 208,739.70

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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.