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Finding the Fourth Proportional to 201,638.60, 302,555.10 and 142,346.60

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Solution

The fourth proportional to 201,638.60, 302,555.10 and 142,346.60 is: 213,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.60 : 302,555.10 = 142,346.60 : x
  2. Step 2: Convert to fraction form
    201,638.60/302,555.10 = 142,346.60/x
  3. Step 3: Cross multiply
    201,638.60x = 302,555.10 × 142,346.60
  4. Step 4: Simplify right side
    201,638.60x = 43,067,689,797.66
  5. Step 5: Solve for x
    x = 43,067,689,797.66/201,638.60
  6. Step 6: Final answer
    x = 213,588.52

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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.