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Finding the Fourth Proportional to 202,142.80, 303,214.20 and 143,045.20

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Solution

The fourth proportional to 202,142.80, 303,214.20 and 143,045.20 is: 214,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142.80 : 303,214.20 = 143,045.20 : x
  2. Step 2: Convert to fraction form
    202,142.80/303,214.20 = 143,045.20/x
  3. Step 3: Cross multiply
    202,142.80x = 303,214.20 × 143,045.20
  4. Step 4: Simplify right side
    202,142.80x = 43,373,335,881.84
  5. Step 5: Solve for x
    x = 43,373,335,881.84/202,142.80
  6. Step 6: Final answer
    x = 214,567.80

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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.