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Finding the Fourth Proportional to 84,878.82, 117,140.04 and 47,155.50

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Solution

The fourth proportional to 84,878.82, 117,140.04 and 47,155.50 is: 65,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,878.82 : 117,140.04 = 47,155.50 : x
  2. Step 2: Convert to fraction form
    84,878.82/117,140.04 = 47,155.50/x
  3. Step 3: Cross multiply
    84,878.82x = 117,140.04 × 47,155.50
  4. Step 4: Simplify right side
    84,878.82x = 5,523,797,156.22
  5. Step 5: Solve for x
    x = 5,523,797,156.22/84,878.82
  6. Step 6: Final answer
    x = 65,078.63

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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.