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Finding the Fourth Proportional to 154,647.50, 213,409.94 and 90,989.42

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Solution

The fourth proportional to 154,647.50, 213,409.94 and 90,989.42 is: 125,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,647.50 : 213,409.94 = 90,989.42 : x
  2. Step 2: Convert to fraction form
    154,647.50/213,409.94 = 90,989.42/x
  3. Step 3: Cross multiply
    154,647.50x = 213,409.94 × 90,989.42
  4. Step 4: Simplify right side
    154,647.50x = 19,418,046,662.83
  5. Step 5: Solve for x
    x = 19,418,046,662.83/154,647.50
  6. Step 6: Final answer
    x = 125,563.28

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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.