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Finding the Fourth Proportional to 51,773.76, 77,683.68 and 27,144

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Solution

The fourth proportional to 51,773.76, 77,683.68 and 27,144 is: 40,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.76 : 77,683.68 = 27,144 : x
  2. Step 2: Convert to fraction form
    51,773.76/77,683.68 = 27,144/x
  3. Step 3: Cross multiply
    51,773.76x = 77,683.68 × 27,144
  4. Step 4: Simplify right side
    51,773.76x = 2,108,645,809.92
  5. Step 5: Solve for x
    x = 2,108,645,809.92/51,773.76
  6. Step 6: Final answer
    x = 40,728.08

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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.