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Finding the Fourth Proportional to 78,147, 117,239.94 and 22,743

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Solution

The fourth proportional to 78,147, 117,239.94 and 22,743 is: 34,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,147 : 117,239.94 = 22,743 : x
  2. Step 2: Convert to fraction form
    78,147/117,239.94 = 22,743/x
  3. Step 3: Cross multiply
    78,147x = 117,239.94 × 22,743
  4. Step 4: Simplify right side
    78,147x = 2,666,387,955.42
  5. Step 5: Solve for x
    x = 2,666,387,955.42/78,147
  6. Step 6: Final answer
    x = 34,120.16

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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.