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Finding the Fourth Proportional to 71,977.98, 107,969.40 and 40,386.36

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Solution

The fourth proportional to 71,977.98, 107,969.40 and 40,386.36 is: 60,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,977.98 : 107,969.40 = 40,386.36 : x
  2. Step 2: Convert to fraction form
    71,977.98/107,969.40 = 40,386.36/x
  3. Step 3: Cross multiply
    71,977.98x = 107,969.40 × 40,386.36
  4. Step 4: Simplify right side
    71,977.98x = 4,360,491,057.38
  5. Step 5: Solve for x
    x = 4,360,491,057.38/71,977.98
  6. Step 6: Final answer
    x = 60,580.90

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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.