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Finding the Fourth Proportional to 99,382.68, 137,147.99 and 56,941.38

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Solution

The fourth proportional to 99,382.68, 137,147.99 and 56,941.38 is: 78,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,382.68 : 137,147.99 = 56,941.38 : x
  2. Step 2: Convert to fraction form
    99,382.68/137,147.99 = 56,941.38/x
  3. Step 3: Cross multiply
    99,382.68x = 137,147.99 × 56,941.38
  4. Step 4: Simplify right side
    99,382.68x = 7,809,395,530.12
  5. Step 5: Solve for x
    x = 7,809,395,530.12/99,382.68
  6. Step 6: Final answer
    x = 78,579.04

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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.