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Finding the Fourth Proportional to 123,977.72, 185,978.90 and 49,149.51

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Solution

The fourth proportional to 123,977.72, 185,978.90 and 49,149.51 is: 73,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,977.72 : 185,978.90 = 49,149.51 : x
  2. Step 2: Convert to fraction form
    123,977.72/185,978.90 = 49,149.51/x
  3. Step 3: Cross multiply
    123,977.72x = 185,978.90 × 49,149.51
  4. Step 4: Simplify right side
    123,977.72x = 9,140,771,559.59
  5. Step 5: Solve for x
    x = 9,140,771,559.59/123,977.72
  6. Step 6: Final answer
    x = 73,729.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.