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Finding the Fourth Proportional to 78,494.25, 117,772.81 and 28,577.80

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Solution

The fourth proportional to 78,494.25, 117,772.81 and 28,577.80 is: 42,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.25 : 117,772.81 = 28,577.80 : x
  2. Step 2: Convert to fraction form
    78,494.25/117,772.81 = 28,577.80/x
  3. Step 3: Cross multiply
    78,494.25x = 117,772.81 × 28,577.80
  4. Step 4: Simplify right side
    78,494.25x = 3,365,687,809.62
  5. Step 5: Solve for x
    x = 3,365,687,809.62/78,494.25
  6. Step 6: Final answer
    x = 42,878.14

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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.