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Finding the Fourth Proportional to 84,791.10, 117,012.17 and 52,978.45

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Solution

The fourth proportional to 84,791.10, 117,012.17 and 52,978.45 is: 73,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,791.10 : 117,012.17 = 52,978.45 : x
  2. Step 2: Convert to fraction form
    84,791.10/117,012.17 = 52,978.45/x
  3. Step 3: Cross multiply
    84,791.10x = 117,012.17 × 52,978.45
  4. Step 4: Simplify right side
    84,791.10x = 6,199,123,397.74
  5. Step 5: Solve for x
    x = 6,199,123,397.74/84,791.10
  6. Step 6: Final answer
    x = 73,110.54

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1.5x scale

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.