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Finding the Fourth Proportional to 77,574.81, 107,046.93 and 43,581.45

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Solution

The fourth proportional to 77,574.81, 107,046.93 and 43,581.45 is: 60,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574.81 : 107,046.93 = 43,581.45 : x
  2. Step 2: Convert to fraction form
    77,574.81/107,046.93 = 43,581.45/x
  3. Step 3: Cross multiply
    77,574.81x = 107,046.93 × 43,581.45
  4. Step 4: Simplify right side
    77,574.81x = 4,665,260,427.45
  5. Step 5: Solve for x
    x = 4,665,260,427.45/77,574.81
  6. Step 6: Final answer
    x = 60,138.86

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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.