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Finding the Fourth Proportional to 201,701.10, 302,648.85 and 142,409.10

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Solution

The fourth proportional to 201,701.10, 302,648.85 and 142,409.10 is: 213,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,701.10 : 302,648.85 = 142,409.10 : x
  2. Step 2: Convert to fraction form
    201,701.10/302,648.85 = 142,409.10/x
  3. Step 3: Cross multiply
    201,701.10x = 302,648.85 × 142,409.10
  4. Step 4: Simplify right side
    201,701.10x = 43,099,950,344.54
  5. Step 5: Solve for x
    x = 43,099,950,344.54/201,701.10
  6. Step 6: Final answer
    x = 213,682.28

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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.