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Finding the Fourth Proportional to 164,561.70, 246,850.65 and 85,829.70

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Solution

The fourth proportional to 164,561.70, 246,850.65 and 85,829.70 is: 128,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,561.70 : 246,850.65 = 85,829.70 : x
  2. Step 2: Convert to fraction form
    164,561.70/246,850.65 = 85,829.70/x
  3. Step 3: Cross multiply
    164,561.70x = 246,850.65 × 85,829.70
  4. Step 4: Simplify right side
    164,561.70x = 21,187,117,234.31
  5. Step 5: Solve for x
    x = 21,187,117,234.31/164,561.70
  6. Step 6: Final answer
    x = 128,748.77

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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.