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Finding the Fourth Proportional to 173,205.80, 259,808.70 and 106,429.40

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Solution

The fourth proportional to 173,205.80, 259,808.70 and 106,429.40 is: 159,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,205.80 : 259,808.70 = 106,429.40 : x
  2. Step 2: Convert to fraction form
    173,205.80/259,808.70 = 106,429.40/x
  3. Step 3: Cross multiply
    173,205.80x = 259,808.70 × 106,429.40
  4. Step 4: Simplify right side
    173,205.80x = 27,651,284,055.78
  5. Step 5: Solve for x
    x = 27,651,284,055.78/173,205.80
  6. Step 6: Final answer
    x = 159,644.10

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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.