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Finding the Fourth Proportional to 76,731.30, 114,902.55 and 61,179.30

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Solution

The fourth proportional to 76,731.30, 114,902.55 and 61,179.30 is: 91,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,731.30 : 114,902.55 = 61,179.30 : x
  2. Step 2: Convert to fraction form
    76,731.30/114,902.55 = 61,179.30/x
  3. Step 3: Cross multiply
    76,731.30x = 114,902.55 × 61,179.30
  4. Step 4: Simplify right side
    76,731.30x = 7,029,657,577.22
  5. Step 5: Solve for x
    x = 7,029,657,577.22/76,731.30
  6. Step 6: Final answer
    x = 91,613.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.