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Finding the Fourth Proportional to 202,086.42, 302,931.58 and 172,168.26

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Solution

The fourth proportional to 202,086.42, 302,931.58 and 172,168.26 is: 258,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,086.42 : 302,931.58 = 172,168.26 : x
  2. Step 2: Convert to fraction form
    202,086.42/302,931.58 = 172,168.26/x
  3. Step 3: Cross multiply
    202,086.42x = 302,931.58 × 172,168.26
  4. Step 4: Simplify right side
    202,086.42x = 52,155,203,027.65
  5. Step 5: Solve for x
    x = 52,155,203,027.65/202,086.42
  6. Step 6: Final answer
    x = 258,083.66

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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.