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Finding the Fourth Proportional to 84,791.60, 117,012.86 and 52,978.95

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Solution

The fourth proportional to 84,791.60, 117,012.86 and 52,978.95 is: 73,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,791.60 : 117,012.86 = 52,978.95 : x
  2. Step 2: Convert to fraction form
    84,791.60/117,012.86 = 52,978.95/x
  3. Step 3: Cross multiply
    84,791.60x = 117,012.86 × 52,978.95
  4. Step 4: Simplify right side
    84,791.60x = 6,199,218,459.30
  5. Step 5: Solve for x
    x = 6,199,218,459.30/84,791.60
  6. Step 6: Final answer
    x = 73,111.23

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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.