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Finding the Fourth Proportional to 123,868.08, 185,784.84 and 40,734

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Solution

The fourth proportional to 123,868.08, 185,784.84 and 40,734 is: 61,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,868.08 : 185,784.84 = 40,734 : x
  2. Step 2: Convert to fraction form
    123,868.08/185,784.84 = 40,734/x
  3. Step 3: Cross multiply
    123,868.08x = 185,784.84 × 40,734
  4. Step 4: Simplify right side
    123,868.08x = 7,567,759,672.56
  5. Step 5: Solve for x
    x = 7,567,759,672.56/123,868.08
  6. Step 6: Final answer
    x = 61,095.32

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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.