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Finding the Fourth Proportional to 209,879.16, 314,911.48 and 110,015.47

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Solution

The fourth proportional to 209,879.16, 314,911.48 and 110,015.47 is: 165,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,879.16 : 314,911.48 = 110,015.47 : x
  2. Step 2: Convert to fraction form
    209,879.16/314,911.48 = 110,015.47/x
  3. Step 3: Cross multiply
    209,879.16x = 314,911.48 × 110,015.47
  4. Step 4: Simplify right side
    209,879.16x = 34,645,134,480.60
  5. Step 5: Solve for x
    x = 34,645,134,480.60/209,879.16
  6. Step 6: Final answer
    x = 165,071.82

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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.