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Finding the Fourth Proportional to 152,716.89, 228,983.30 and 68,461.80

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Solution

The fourth proportional to 152,716.89, 228,983.30 and 68,461.80 is: 102,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,716.89 : 228,983.30 = 68,461.80 : x
  2. Step 2: Convert to fraction form
    152,716.89/228,983.30 = 68,461.80/x
  3. Step 3: Cross multiply
    152,716.89x = 228,983.30 × 68,461.80
  4. Step 4: Simplify right side
    152,716.89x = 15,676,608,545.63
  5. Step 5: Solve for x
    x = 15,676,608,545.63/152,716.89
  6. Step 6: Final answer
    x = 102,651.44

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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.