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Finding the Fourth Proportional to 215,498.95, 322,920.36 and 103,024.58

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Solution

The fourth proportional to 215,498.95, 322,920.36 and 103,024.58 is: 154,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,498.95 : 322,920.36 = 103,024.58 : x
  2. Step 2: Convert to fraction form
    215,498.95/322,920.36 = 103,024.58/x
  3. Step 3: Cross multiply
    215,498.95x = 322,920.36 × 103,024.58
  4. Step 4: Simplify right side
    215,498.95x = 33,268,732,847.85
  5. Step 5: Solve for x
    x = 33,268,732,847.85/215,498.95
  6. Step 6: Final answer
    x = 154,380.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.