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Finding the Fourth Proportional to 77,286.42, 107,200.92 and 75,237.93

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Solution

The fourth proportional to 77,286.42, 107,200.92 and 75,237.93 is: 104,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,286.42 : 107,200.92 = 75,237.93 : x
  2. Step 2: Convert to fraction form
    77,286.42/107,200.92 = 75,237.93/x
  3. Step 3: Cross multiply
    77,286.42x = 107,200.92 × 75,237.93
  4. Step 4: Simplify right side
    77,286.42x = 8,065,574,938.71
  5. Step 5: Solve for x
    x = 8,065,574,938.71/77,286.42
  6. Step 6: Final answer
    x = 104,359.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.