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Finding the Fourth Proportional to 77,575.87, 116,361.48 and 21,419.41

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Solution

The fourth proportional to 77,575.87, 116,361.48 and 21,419.41 is: 32,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,575.87 : 116,361.48 = 21,419.41 : x
  2. Step 2: Convert to fraction form
    77,575.87/116,361.48 = 21,419.41/x
  3. Step 3: Cross multiply
    77,575.87x = 116,361.48 × 21,419.41
  4. Step 4: Simplify right side
    77,575.87x = 2,492,393,666.52
  5. Step 5: Solve for x
    x = 2,492,393,666.52/77,575.87
  6. Step 6: Final answer
    x = 32,128.47

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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.