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Finding the Fourth Proportional to 76,863, 114,530.36 and 68,478.58

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Solution

The fourth proportional to 76,863, 114,530.36 and 68,478.58 is: 102,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,863 : 114,530.36 = 68,478.58 : x
  2. Step 2: Convert to fraction form
    76,863/114,530.36 = 68,478.58/x
  3. Step 3: Cross multiply
    76,863x = 114,530.36 × 68,478.58
  4. Step 4: Simplify right side
    76,863x = 7,842,876,419.69
  5. Step 5: Solve for x
    x = 7,842,876,419.69/76,863
  6. Step 6: Final answer
    x = 102,037.08

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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.