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Finding the Fourth Proportional to 103,652.87, 155,380.78 and 40,513.47

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Solution

The fourth proportional to 103,652.87, 155,380.78 and 40,513.47 is: 60,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,652.87 : 155,380.78 = 40,513.47 : x
  2. Step 2: Convert to fraction form
    103,652.87/155,380.78 = 40,513.47/x
  3. Step 3: Cross multiply
    103,652.87x = 155,380.78 × 40,513.47
  4. Step 4: Simplify right side
    103,652.87x = 6,295,014,037.07
  5. Step 5: Solve for x
    x = 6,295,014,037.07/103,652.87
  6. Step 6: Final answer
    x = 60,731.69

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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.