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Finding the Fourth Proportional to 77,165.81, 115,664.05 and 39,727.88

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Solution

The fourth proportional to 77,165.81, 115,664.05 and 39,727.88 is: 59,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,165.81 : 115,664.05 = 39,727.88 : x
  2. Step 2: Convert to fraction form
    77,165.81/115,664.05 = 39,727.88/x
  3. Step 3: Cross multiply
    77,165.81x = 115,664.05 × 39,727.88
  4. Step 4: Simplify right side
    77,165.81x = 4,595,087,787.87
  5. Step 5: Solve for x
    x = 4,595,087,787.87/77,165.81
  6. Step 6: Final answer
    x = 59,548.23

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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.