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Finding the Fourth Proportional to 124,857, 187,285.68 and 50,985

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Solution

The fourth proportional to 124,857, 187,285.68 and 50,985 is: 76,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,857 : 187,285.68 = 50,985 : x
  2. Step 2: Convert to fraction form
    124,857/187,285.68 = 50,985/x
  3. Step 3: Cross multiply
    124,857x = 187,285.68 × 50,985
  4. Step 4: Simplify right side
    124,857x = 9,548,760,394.80
  5. Step 5: Solve for x
    x = 9,548,760,394.80/124,857
  6. Step 6: Final answer
    x = 76,477.57

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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.