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Finding the Fourth Proportional to 77,857.65, 106,742.80 and 76,438.86

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Solution

The fourth proportional to 77,857.65, 106,742.80 and 76,438.86 is: 104,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857.65 : 106,742.80 = 76,438.86 : x
  2. Step 2: Convert to fraction form
    77,857.65/106,742.80 = 76,438.86/x
  3. Step 3: Cross multiply
    77,857.65x = 106,742.80 × 76,438.86
  4. Step 4: Simplify right side
    77,857.65x = 8,159,297,411.49
  5. Step 5: Solve for x
    x = 8,159,297,411.49/77,857.65
  6. Step 6: Final answer
    x = 104,797.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.