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Finding the Fourth Proportional to 201,874.80, 302,478.48 and 142,608.72

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Solution

The fourth proportional to 201,874.80, 302,478.48 and 142,608.72 is: 213,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.80 : 302,478.48 = 142,608.72 : x
  2. Step 2: Convert to fraction form
    201,874.80/302,478.48 = 142,608.72/x
  3. Step 3: Cross multiply
    201,874.80x = 302,478.48 × 142,608.72
  4. Step 4: Simplify right side
    201,874.80x = 43,136,068,860.35
  5. Step 5: Solve for x
    x = 43,136,068,860.35/201,874.80
  6. Step 6: Final answer
    x = 213,677.33

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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.