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Finding the Fourth Proportional to 77,877.50, 116,803.44 and 21,721.42

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Solution

The fourth proportional to 77,877.50, 116,803.44 and 21,721.42 is: 32,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,877.50 : 116,803.44 = 21,721.42 : x
  2. Step 2: Convert to fraction form
    77,877.50/116,803.44 = 21,721.42/x
  3. Step 3: Cross multiply
    77,877.50x = 116,803.44 × 21,721.42
  4. Step 4: Simplify right side
    77,877.50x = 2,537,136,577.68
  5. Step 5: Solve for x
    x = 2,537,136,577.68/77,877.50
  6. Step 6: Final answer
    x = 32,578.56

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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.