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Finding the Fourth Proportional to 173,209.80, 259,822.80 and 54,890.40

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Solution

The fourth proportional to 173,209.80, 259,822.80 and 54,890.40 is: 82,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,209.80 : 259,822.80 = 54,890.40 : x
  2. Step 2: Convert to fraction form
    173,209.80/259,822.80 = 54,890.40/x
  3. Step 3: Cross multiply
    173,209.80x = 259,822.80 × 54,890.40
  4. Step 4: Simplify right side
    173,209.80x = 14,261,777,421.12
  5. Step 5: Solve for x
    x = 14,261,777,421.12/173,209.80
  6. Step 6: Final answer
    x = 82,338.17

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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.