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Finding the Fourth Proportional to 77,421.50, 116,143.80 and 27,497.41

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Solution

The fourth proportional to 77,421.50, 116,143.80 and 27,497.41 is: 41,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,421.50 : 116,143.80 = 27,497.41 : x
  2. Step 2: Convert to fraction form
    77,421.50/116,143.80 = 27,497.41/x
  3. Step 3: Cross multiply
    77,421.50x = 116,143.80 × 27,497.41
  4. Step 4: Simplify right side
    77,421.50x = 3,193,653,729.62
  5. Step 5: Solve for x
    x = 3,193,653,729.62/77,421.50
  6. Step 6: Final answer
    x = 41,250.22

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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.