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Finding the Fourth Proportional to 80,398.37, 120,615.93 and 27,807.81

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Solution

The fourth proportional to 80,398.37, 120,615.93 and 27,807.81 is: 41,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,398.37 : 120,615.93 = 27,807.81 : x
  2. Step 2: Convert to fraction form
    80,398.37/120,615.93 = 27,807.81/x
  3. Step 3: Cross multiply
    80,398.37x = 120,615.93 × 27,807.81
  4. Step 4: Simplify right side
    80,398.37x = 3,354,064,864.41
  5. Step 5: Solve for x
    x = 3,354,064,864.41/80,398.37
  6. Step 6: Final answer
    x = 41,718.07

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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.