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Finding the Fourth Proportional to 103,618.10, 155,509.17 and 40,468.48

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Solution

The fourth proportional to 103,618.10, 155,509.17 and 40,468.48 is: 60,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,618.10 : 155,509.17 = 40,468.48 : x
  2. Step 2: Convert to fraction form
    103,618.10/155,509.17 = 40,468.48/x
  3. Step 3: Cross multiply
    103,618.10x = 155,509.17 × 40,468.48
  4. Step 4: Simplify right side
    103,618.10x = 6,293,219,735.96
  5. Step 5: Solve for x
    x = 6,293,219,735.96/103,618.10
  6. Step 6: Final answer
    x = 60,734.75

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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.