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Finding the Fourth Proportional to 205,744.60, 308,562.90 and 87,355

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Solution

The fourth proportional to 205,744.60, 308,562.90 and 87,355 is: 131,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,744.60 : 308,562.90 = 87,355 : x
  2. Step 2: Convert to fraction form
    205,744.60/308,562.90 = 87,355/x
  3. Step 3: Cross multiply
    205,744.60x = 308,562.90 × 87,355
  4. Step 4: Simplify right side
    205,744.60x = 26,954,512,129.50
  5. Step 5: Solve for x
    x = 26,954,512,129.50/205,744.60
  6. Step 6: Final answer
    x = 131,009.57

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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.