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Finding the Fourth Proportional to 201,410.60, 302,213.10 and 142,118.60

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Solution

The fourth proportional to 201,410.60, 302,213.10 and 142,118.60 is: 213,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,410.60 : 302,213.10 = 142,118.60 : x
  2. Step 2: Convert to fraction form
    201,410.60/302,213.10 = 142,118.60/x
  3. Step 3: Cross multiply
    201,410.60x = 302,213.10 × 142,118.60
  4. Step 4: Simplify right side
    201,410.60x = 42,950,102,673.66
  5. Step 5: Solve for x
    x = 42,950,102,673.66/201,410.60
  6. Step 6: Final answer
    x = 213,246.49

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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.