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Finding the Fourth Proportional to 209,367.90, 314,174.88 and 76,256.16

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Solution

The fourth proportional to 209,367.90, 314,174.88 and 76,256.16 is: 114,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,367.90 : 314,174.88 = 76,256.16 : x
  2. Step 2: Convert to fraction form
    209,367.90/314,174.88 = 76,256.16/x
  3. Step 3: Cross multiply
    209,367.90x = 314,174.88 × 76,256.16
  4. Step 4: Simplify right side
    209,367.90x = 23,957,769,917.26
  5. Step 5: Solve for x
    x = 23,957,769,917.26/209,367.90
  6. Step 6: Final answer
    x = 114,429.05

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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.