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Finding the Fourth Proportional to 202,140.30, 303,210.45 and 143,091.30

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Solution

The fourth proportional to 202,140.30, 303,210.45 and 143,091.30 is: 214,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,140.30 : 303,210.45 = 143,091.30 : x
  2. Step 2: Convert to fraction form
    202,140.30/303,210.45 = 143,091.30/x
  3. Step 3: Cross multiply
    202,140.30x = 303,210.45 × 143,091.30
  4. Step 4: Simplify right side
    202,140.30x = 43,386,777,464.09
  5. Step 5: Solve for x
    x = 43,386,777,464.09/202,140.30
  6. Step 6: Final answer
    x = 214,636.95

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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.