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Finding the Fourth Proportional to 76,775.42, 114,562.56 and 68,796.63

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Solution

The fourth proportional to 76,775.42, 114,562.56 and 68,796.63 is: 102,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,775.42 : 114,562.56 = 68,796.63 : x
  2. Step 2: Convert to fraction form
    76,775.42/114,562.56 = 68,796.63/x
  3. Step 3: Cross multiply
    76,775.42x = 114,562.56 × 68,796.63
  4. Step 4: Simplify right side
    76,775.42x = 7,881,517,810.45
  5. Step 5: Solve for x
    x = 7,881,517,810.45/76,775.42
  6. Step 6: Final answer
    x = 102,656.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.