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Finding the Fourth Proportional to 78,655.87, 117,918.49 and 31,241.71

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Solution

The fourth proportional to 78,655.87, 117,918.49 and 31,241.71 is: 46,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,655.87 : 117,918.49 = 31,241.71 : x
  2. Step 2: Convert to fraction form
    78,655.87/117,918.49 = 31,241.71/x
  3. Step 3: Cross multiply
    78,655.87x = 117,918.49 × 31,241.71
  4. Step 4: Simplify right side
    78,655.87x = 3,683,975,268.22
  5. Step 5: Solve for x
    x = 3,683,975,268.22/78,655.87
  6. Step 6: Final answer
    x = 46,836.62

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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.