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Finding the Fourth Proportional to 271,153.12, 406,763.70 and 81,583.96

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Solution

The fourth proportional to 271,153.12, 406,763.70 and 81,583.96 is: 122,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,153.12 : 406,763.70 = 81,583.96 : x
  2. Step 2: Convert to fraction form
    271,153.12/406,763.70 = 81,583.96/x
  3. Step 3: Cross multiply
    271,153.12x = 406,763.70 × 81,583.96
  4. Step 4: Simplify right side
    271,153.12x = 33,185,393,430.25
  5. Step 5: Solve for x
    x = 33,185,393,430.25/271,153.12
  6. Step 6: Final answer
    x = 122,386.18

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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.