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Finding the Fourth Proportional to 201,372.40, 302,102.52 and 61,142

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Solution

The fourth proportional to 201,372.40, 302,102.52 and 61,142 is: 91,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,372.40 : 302,102.52 = 61,142 : x
  2. Step 2: Convert to fraction form
    201,372.40/302,102.52 = 61,142/x
  3. Step 3: Cross multiply
    201,372.40x = 302,102.52 × 61,142
  4. Step 4: Simplify right side
    201,372.40x = 18,471,152,277.84
  5. Step 5: Solve for x
    x = 18,471,152,277.84/201,372.40
  6. Step 6: Final answer
    x = 91,726.34

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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.