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Finding the Fourth Proportional to 202,156.30, 302,988.47 and 143,009.02

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Solution

The fourth proportional to 202,156.30, 302,988.47 and 143,009.02 is: 214,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,156.30 : 302,988.47 = 143,009.02 : x
  2. Step 2: Convert to fraction form
    202,156.30/302,988.47 = 143,009.02/x
  3. Step 3: Cross multiply
    202,156.30x = 302,988.47 × 143,009.02
  4. Step 4: Simplify right side
    202,156.30x = 43,330,083,766.05
  5. Step 5: Solve for x
    x = 43,330,083,766.05/202,156.30
  6. Step 6: Final answer
    x = 214,339.52

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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.