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Finding the Fourth Proportional to 77,216.82, 106,568.64 and 45,388.68

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Solution

The fourth proportional to 77,216.82, 106,568.64 and 45,388.68 is: 62,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,216.82 : 106,568.64 = 45,388.68 : x
  2. Step 2: Convert to fraction form
    77,216.82/106,568.64 = 45,388.68/x
  3. Step 3: Cross multiply
    77,216.82x = 106,568.64 × 45,388.68
  4. Step 4: Simplify right side
    77,216.82x = 4,837,009,899.00
  5. Step 5: Solve for x
    x = 4,837,009,899.00/77,216.82
  6. Step 6: Final answer
    x = 62,641.92

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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.