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Finding the Fourth Proportional to 78,578.24, 117,840.60 and 28,646.60

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Solution

The fourth proportional to 78,578.24, 117,840.60 and 28,646.60 is: 42,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578.24 : 117,840.60 = 28,646.60 : x
  2. Step 2: Convert to fraction form
    78,578.24/117,840.60 = 28,646.60/x
  3. Step 3: Cross multiply
    78,578.24x = 117,840.60 × 28,646.60
  4. Step 4: Simplify right side
    78,578.24x = 3,375,732,531.96
  5. Step 5: Solve for x
    x = 3,375,732,531.96/78,578.24
  6. Step 6: Final answer
    x = 42,960.14

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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.