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Finding the Fourth Proportional to 78,584.81, 117,878.43 and 43,745.90

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Solution

The fourth proportional to 78,584.81, 117,878.43 and 43,745.90 is: 65,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,584.81 : 117,878.43 = 43,745.90 : x
  2. Step 2: Convert to fraction form
    78,584.81/117,878.43 = 43,745.90/x
  3. Step 3: Cross multiply
    78,584.81x = 117,878.43 × 43,745.90
  4. Step 4: Simplify right side
    78,584.81x = 5,156,697,421.54
  5. Step 5: Solve for x
    x = 5,156,697,421.54/78,584.81
  6. Step 6: Final answer
    x = 65,619.52

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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.