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Finding the Fourth Proportional to 291,143.76, 436,015.80 and 166,105.68

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Solution

The fourth proportional to 291,143.76, 436,015.80 and 166,105.68 is: 248,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,143.76 : 436,015.80 = 166,105.68 : x
  2. Step 2: Convert to fraction form
    291,143.76/436,015.80 = 166,105.68/x
  3. Step 3: Cross multiply
    291,143.76x = 436,015.80 × 166,105.68
  4. Step 4: Simplify right side
    291,143.76x = 72,424,700,949.74
  5. Step 5: Solve for x
    x = 72,424,700,949.74/291,143.76
  6. Step 6: Final answer
    x = 248,759.24

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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.