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Finding the Fourth Proportional to 202,530.30, 303,795.45 and 143,432.70

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Solution

The fourth proportional to 202,530.30, 303,795.45 and 143,432.70 is: 215,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,530.30 : 303,795.45 = 143,432.70 : x
  2. Step 2: Convert to fraction form
    202,530.30/303,795.45 = 143,432.70/x
  3. Step 3: Cross multiply
    202,530.30x = 303,795.45 × 143,432.70
  4. Step 4: Simplify right side
    202,530.30x = 43,574,201,641.22
  5. Step 5: Solve for x
    x = 43,574,201,641.22/202,530.30
  6. Step 6: Final answer
    x = 215,149.05

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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.