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Finding the Fourth Proportional to 154,651.68, 213,409.22 and 90,977.18

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Solution

The fourth proportional to 154,651.68, 213,409.22 and 90,977.18 is: 125,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,651.68 : 213,409.22 = 90,977.18 : x
  2. Step 2: Convert to fraction form
    154,651.68/213,409.22 = 90,977.18/x
  3. Step 3: Cross multiply
    154,651.68x = 213,409.22 × 90,977.18
  4. Step 4: Simplify right side
    154,651.68x = 19,415,367,499.67
  5. Step 5: Solve for x
    x = 19,415,367,499.67/154,651.68
  6. Step 6: Final answer
    x = 125,542.56

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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.