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Finding the Fourth Proportional to 150,499.44, 207,689.52 and 83,431.44

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Solution

The fourth proportional to 150,499.44, 207,689.52 and 83,431.44 is: 115,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,499.44 : 207,689.52 = 83,431.44 : x
  2. Step 2: Convert to fraction form
    150,499.44/207,689.52 = 83,431.44/x
  3. Step 3: Cross multiply
    150,499.44x = 207,689.52 × 83,431.44
  4. Step 4: Simplify right side
    150,499.44x = 17,327,835,726.51
  5. Step 5: Solve for x
    x = 17,327,835,726.51/150,499.44
  6. Step 6: Final answer
    x = 115,135.55

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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.