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Finding the Fourth Proportional to 202,206.30, 303,309.45 and 139,220.70

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Solution

The fourth proportional to 202,206.30, 303,309.45 and 139,220.70 is: 208,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,206.30 : 303,309.45 = 139,220.70 : x
  2. Step 2: Convert to fraction form
    202,206.30/303,309.45 = 139,220.70/x
  3. Step 3: Cross multiply
    202,206.30x = 303,309.45 × 139,220.70
  4. Step 4: Simplify right side
    202,206.30x = 42,226,953,945.62
  5. Step 5: Solve for x
    x = 42,226,953,945.62/202,206.30
  6. Step 6: Final answer
    x = 208,831.05

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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.