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Finding the Fourth Proportional to 78,393, 117,609.03 and 22,989

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Solution

The fourth proportional to 78,393, 117,609.03 and 22,989 is: 34,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,393 : 117,609.03 = 22,989 : x
  2. Step 2: Convert to fraction form
    78,393/117,609.03 = 22,989/x
  3. Step 3: Cross multiply
    78,393x = 117,609.03 × 22,989
  4. Step 4: Simplify right side
    78,393x = 2,703,713,990.67
  5. Step 5: Solve for x
    x = 2,703,713,990.67/78,393
  6. Step 6: Final answer
    x = 34,489.23

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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.