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Finding the Fourth Proportional to 207,122.57, 285,826.42 and 116,478.51

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Solution

The fourth proportional to 207,122.57, 285,826.42 and 116,478.51 is: 160,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,122.57 : 285,826.42 = 116,478.51 : x
  2. Step 2: Convert to fraction form
    207,122.57/285,826.42 = 116,478.51/x
  3. Step 3: Cross multiply
    207,122.57x = 285,826.42 × 116,478.51
  4. Step 4: Simplify right side
    207,122.57x = 33,292,634,593.98
  5. Step 5: Solve for x
    x = 33,292,634,593.98/207,122.57
  6. Step 6: Final answer
    x = 160,738.81

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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.