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Finding the Fourth Proportional to 77,318.77, 106,698.09 and 45,489.71

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Solution

The fourth proportional to 77,318.77, 106,698.09 and 45,489.71 is: 62,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,318.77 : 106,698.09 = 45,489.71 : x
  2. Step 2: Convert to fraction form
    77,318.77/106,698.09 = 45,489.71/x
  3. Step 3: Cross multiply
    77,318.77x = 106,698.09 × 45,489.71
  4. Step 4: Simplify right side
    77,318.77x = 4,853,664,944.21
  5. Step 5: Solve for x
    x = 4,853,664,944.21/77,318.77
  6. Step 6: Final answer
    x = 62,774.73

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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.