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Finding the Fourth Proportional to 77,379, 106,727.70 and 71,025.75

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Solution

The fourth proportional to 77,379, 106,727.70 and 71,025.75 is: 97,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,379 : 106,727.70 = 71,025.75 : x
  2. Step 2: Convert to fraction form
    77,379/106,727.70 = 71,025.75/x
  3. Step 3: Cross multiply
    77,379x = 106,727.70 × 71,025.75
  4. Step 4: Simplify right side
    77,379x = 7,580,414,938.28
  5. Step 5: Solve for x
    x = 7,580,414,938.28/77,379
  6. Step 6: Final answer
    x = 97,964.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.