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Finding the Fourth Proportional to 201,902.90, 302,781.45 and 102,029.90

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Solution

The fourth proportional to 201,902.90, 302,781.45 and 102,029.90 is: 153,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.90 : 302,781.45 = 102,029.90 : x
  2. Step 2: Convert to fraction form
    201,902.90/302,781.45 = 102,029.90/x
  3. Step 3: Cross multiply
    201,902.90x = 302,781.45 × 102,029.90
  4. Step 4: Simplify right side
    201,902.90x = 30,892,761,065.36
  5. Step 5: Solve for x
    x = 30,892,761,065.36/201,902.90
  6. Step 6: Final answer
    x = 153,008.01

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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.