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Finding the Fourth Proportional to 152,755.70, 229,041.50 and 68,500.63

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Solution

The fourth proportional to 152,755.70, 229,041.50 and 68,500.63 is: 102,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,755.70 : 229,041.50 = 68,500.63 : x
  2. Step 2: Convert to fraction form
    152,755.70/229,041.50 = 68,500.63/x
  3. Step 3: Cross multiply
    152,755.70x = 229,041.50 × 68,500.63
  4. Step 4: Simplify right side
    152,755.70x = 15,689,485,900.94
  5. Step 5: Solve for x
    x = 15,689,485,900.94/152,755.70
  6. Step 6: Final answer
    x = 102,709.66

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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.