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Finding the Fourth Proportional to 271,971.85, 407,957.32 and 72,292.23

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Solution

The fourth proportional to 271,971.85, 407,957.32 and 72,292.23 is: 108,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,971.85 : 407,957.32 = 72,292.23 : x
  2. Step 2: Convert to fraction form
    271,971.85/407,957.32 = 72,292.23/x
  3. Step 3: Cross multiply
    271,971.85x = 407,957.32 × 72,292.23
  4. Step 4: Simplify right side
    271,971.85x = 29,492,146,320.72
  5. Step 5: Solve for x
    x = 29,492,146,320.72/271,971.85
  6. Step 6: Final answer
    x = 108,438.23

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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.