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Finding the Fourth Proportional to 123,506.80, 185,255.04 and 52,409.92

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Solution

The fourth proportional to 123,506.80, 185,255.04 and 52,409.92 is: 78,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,506.80 : 185,255.04 = 52,409.92 : x
  2. Step 2: Convert to fraction form
    123,506.80/185,255.04 = 52,409.92/x
  3. Step 3: Cross multiply
    123,506.80x = 185,255.04 × 52,409.92
  4. Step 4: Simplify right side
    123,506.80x = 9,709,201,826.00
  5. Step 5: Solve for x
    x = 9,709,201,826.00/123,506.80
  6. Step 6: Final answer
    x = 78,612.69

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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.