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Finding the Fourth Proportional to 99,505.30, 137,212.08 and 76,847.98

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Solution

The fourth proportional to 99,505.30, 137,212.08 and 76,847.98 is: 105,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,505.30 : 137,212.08 = 76,847.98 : x
  2. Step 2: Convert to fraction form
    99,505.30/137,212.08 = 76,847.98/x
  3. Step 3: Cross multiply
    99,505.30x = 137,212.08 × 76,847.98
  4. Step 4: Simplify right side
    99,505.30x = 10,544,471,179.60
  5. Step 5: Solve for x
    x = 10,544,471,179.60/99,505.30
  6. Step 6: Final answer
    x = 105,968.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.