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Finding the Fourth Proportional to 71,386.80, 106,977.60 and 40,156.08

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Solution

The fourth proportional to 71,386.80, 106,977.60 and 40,156.08 is: 60,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,386.80 : 106,977.60 = 40,156.08 : x
  2. Step 2: Convert to fraction form
    71,386.80/106,977.60 = 40,156.08/x
  3. Step 3: Cross multiply
    71,386.80x = 106,977.60 × 40,156.08
  4. Step 4: Simplify right side
    71,386.80x = 4,295,801,063.81
  5. Step 5: Solve for x
    x = 4,295,801,063.81/71,386.80
  6. Step 6: Final answer
    x = 60,176.41

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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.