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Finding the Fourth Proportional to 261,967.30, 393,103.43 and 110,153.40

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Solution

The fourth proportional to 261,967.30, 393,103.43 and 110,153.40 is: 165,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,967.30 : 393,103.43 = 110,153.40 : x
  2. Step 2: Convert to fraction form
    261,967.30/393,103.43 = 110,153.40/x
  3. Step 3: Cross multiply
    261,967.30x = 393,103.43 × 110,153.40
  4. Step 4: Simplify right side
    261,967.30x = 43,301,679,965.54
  5. Step 5: Solve for x
    x = 43,301,679,965.54/261,967.30
  6. Step 6: Final answer
    x = 165,294.22

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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.