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Finding the Fourth Proportional to 123,642.57, 185,578.67 and 48,814.37

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Solution

The fourth proportional to 123,642.57, 185,578.67 and 48,814.37 is: 73,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,642.57 : 185,578.67 = 48,814.37 : x
  2. Step 2: Convert to fraction form
    123,642.57/185,578.67 = 48,814.37/x
  3. Step 3: Cross multiply
    123,642.57x = 185,578.67 × 48,814.37
  4. Step 4: Simplify right side
    123,642.57x = 9,058,905,861.49
  5. Step 5: Solve for x
    x = 9,058,905,861.49/123,642.57
  6. Step 6: Final answer
    x = 73,266.88

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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.