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Finding the Fourth Proportional to 174,137.60, 261,763.20 and 161,811.20

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Solution

The fourth proportional to 174,137.60, 261,763.20 and 161,811.20 is: 243,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,137.60 : 261,763.20 = 161,811.20 : x
  2. Step 2: Convert to fraction form
    174,137.60/261,763.20 = 161,811.20/x
  3. Step 3: Cross multiply
    174,137.60x = 261,763.20 × 161,811.20
  4. Step 4: Simplify right side
    174,137.60x = 42,356,217,507.84
  5. Step 5: Solve for x
    x = 42,356,217,507.84/174,137.60
  6. Step 6: Final answer
    x = 243,234.19

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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.