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Finding the Fourth Proportional to 78,508.99, 117,694.56 and 31,157.51

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Solution

The fourth proportional to 78,508.99, 117,694.56 and 31,157.51 is: 46,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.99 : 117,694.56 = 31,157.51 : x
  2. Step 2: Convert to fraction form
    78,508.99/117,694.56 = 31,157.51/x
  3. Step 3: Cross multiply
    78,508.99x = 117,694.56 × 31,157.51
  4. Step 4: Simplify right side
    78,508.99x = 3,667,068,841.67
  5. Step 5: Solve for x
    x = 3,667,068,841.67/78,508.99
  6. Step 6: Final answer
    x = 46,708.91

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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.