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Finding the Fourth Proportional to 78,506.09, 117,760.49 and 22,347.64

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Solution

The fourth proportional to 78,506.09, 117,760.49 and 22,347.64 is: 33,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,506.09 : 117,760.49 = 22,347.64 : x
  2. Step 2: Convert to fraction form
    78,506.09/117,760.49 = 22,347.64/x
  3. Step 3: Cross multiply
    78,506.09x = 117,760.49 × 22,347.64
  4. Step 4: Simplify right side
    78,506.09x = 2,631,669,036.74
  5. Step 5: Solve for x
    x = 2,631,669,036.74/78,506.09
  6. Step 6: Final answer
    x = 33,521.85

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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.