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Finding the Fourth Proportional to 111,919.40, 167,879.10 and 38,047.40

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Solution

The fourth proportional to 111,919.40, 167,879.10 and 38,047.40 is: 57,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,919.40 : 167,879.10 = 38,047.40 : x
  2. Step 2: Convert to fraction form
    111,919.40/167,879.10 = 38,047.40/x
  3. Step 3: Cross multiply
    111,919.40x = 167,879.10 × 38,047.40
  4. Step 4: Simplify right side
    111,919.40x = 6,387,363,269.34
  5. Step 5: Solve for x
    x = 6,387,363,269.34/111,919.40
  6. Step 6: Final answer
    x = 57,071.10

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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.