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Finding the Fourth Proportional to 271,215, 406,822.50 and 105,003

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Solution

The fourth proportional to 271,215, 406,822.50 and 105,003 is: 157,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,215 : 406,822.50 = 105,003 : x
  2. Step 2: Convert to fraction form
    271,215/406,822.50 = 105,003/x
  3. Step 3: Cross multiply
    271,215x = 406,822.50 × 105,003
  4. Step 4: Simplify right side
    271,215x = 42,717,582,967.50
  5. Step 5: Solve for x
    x = 42,717,582,967.50/271,215
  6. Step 6: Final answer
    x = 157,504.50

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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.