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Finding the Fourth Proportional to 154,657, 213,392.10 and 90,997.48

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Solution

The fourth proportional to 154,657, 213,392.10 and 90,997.48 is: 125,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,657 : 213,392.10 = 90,997.48 : x
  2. Step 2: Convert to fraction form
    154,657/213,392.10 = 90,997.48/x
  3. Step 3: Cross multiply
    154,657x = 213,392.10 × 90,997.48
  4. Step 4: Simplify right side
    154,657x = 19,418,143,351.91
  5. Step 5: Solve for x
    x = 19,418,143,351.91/154,657
  6. Step 6: Final answer
    x = 125,556.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.