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Finding the Fourth Proportional to 61,833.36, 85,322.28 and 36,678

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Solution

The fourth proportional to 61,833.36, 85,322.28 and 36,678 is: 50,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,833.36 : 85,322.28 = 36,678 : x
  2. Step 2: Convert to fraction form
    61,833.36/85,322.28 = 36,678/x
  3. Step 3: Cross multiply
    61,833.36x = 85,322.28 × 36,678
  4. Step 4: Simplify right side
    61,833.36x = 3,129,450,585.84
  5. Step 5: Solve for x
    x = 3,129,450,585.84/61,833.36
  6. Step 6: Final answer
    x = 50,611.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.