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Finding the Fourth Proportional to 164,805.20, 247,207.80 and 111,661.10

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Solution

The fourth proportional to 164,805.20, 247,207.80 and 111,661.10 is: 167,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,805.20 : 247,207.80 = 111,661.10 : x
  2. Step 2: Convert to fraction form
    164,805.20/247,207.80 = 111,661.10/x
  3. Step 3: Cross multiply
    164,805.20x = 247,207.80 × 111,661.10
  4. Step 4: Simplify right side
    164,805.20x = 27,603,494,876.58
  5. Step 5: Solve for x
    x = 27,603,494,876.58/164,805.20
  6. Step 6: Final answer
    x = 167,491.65

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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.