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Finding the Fourth Proportional to 271,728.54, 407,478.78 and 103,155.93

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Solution

The fourth proportional to 271,728.54, 407,478.78 and 103,155.93 is: 154,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,728.54 : 407,478.78 = 103,155.93 : x
  2. Step 2: Convert to fraction form
    271,728.54/407,478.78 = 103,155.93/x
  3. Step 3: Cross multiply
    271,728.54x = 407,478.78 × 103,155.93
  4. Step 4: Simplify right side
    271,728.54x = 42,033,852,506.17
  5. Step 5: Solve for x
    x = 42,033,852,506.17/271,728.54
  6. Step 6: Final answer
    x = 154,690.61

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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.