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Finding the Fourth Proportional to 213,551.96, 320,521.98 and 113,797.40

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Solution

The fourth proportional to 213,551.96, 320,521.98 and 113,797.40 is: 170,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,551.96 : 320,521.98 = 113,797.40 : x
  2. Step 2: Convert to fraction form
    213,551.96/320,521.98 = 113,797.40/x
  3. Step 3: Cross multiply
    213,551.96x = 320,521.98 × 113,797.40
  4. Step 4: Simplify right side
    213,551.96x = 36,474,567,966.85
  5. Step 5: Solve for x
    x = 36,474,567,966.85/213,551.96
  6. Step 6: Final answer
    x = 170,799.50

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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.