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Finding the Fourth Proportional to 172,311.84, 258,493.68 and 53,967.60

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Solution

The fourth proportional to 172,311.84, 258,493.68 and 53,967.60 is: 80,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,311.84 : 258,493.68 = 53,967.60 : x
  2. Step 2: Convert to fraction form
    172,311.84/258,493.68 = 53,967.60/x
  3. Step 3: Cross multiply
    172,311.84x = 258,493.68 × 53,967.60
  4. Step 4: Simplify right side
    172,311.84x = 13,950,283,524.77
  5. Step 5: Solve for x
    x = 13,950,283,524.77/172,311.84
  6. Step 6: Final answer
    x = 80,959.52

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1.5x scale

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.