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Finding the Fourth Proportional to 77,047.89, 106,323.68 and 45,216.11

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Solution

The fourth proportional to 77,047.89, 106,323.68 and 45,216.11 is: 62,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,047.89 : 106,323.68 = 45,216.11 : x
  2. Step 2: Convert to fraction form
    77,047.89/106,323.68 = 45,216.11/x
  3. Step 3: Cross multiply
    77,047.89x = 106,323.68 × 45,216.11
  4. Step 4: Simplify right side
    77,047.89x = 4,807,542,452.79
  5. Step 5: Solve for x
    x = 4,807,542,452.79/77,047.89
  6. Step 6: Final answer
    x = 62,396.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.