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Finding the Fourth Proportional to 271,762.49, 407,643.19 and 72,102.89

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Solution

The fourth proportional to 271,762.49, 407,643.19 and 72,102.89 is: 108,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,762.49 : 407,643.19 = 72,102.89 : x
  2. Step 2: Convert to fraction form
    271,762.49/407,643.19 = 72,102.89/x
  3. Step 3: Cross multiply
    271,762.49x = 407,643.19 × 72,102.89
  4. Step 4: Simplify right side
    271,762.49x = 29,392,252,087.82
  5. Step 5: Solve for x
    x = 29,392,252,087.82/271,762.49
  6. Step 6: Final answer
    x = 108,154.19

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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.