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Finding the Fourth Proportional to 228,010.64, 341,933.93 and 78,212.07

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Solution

The fourth proportional to 228,010.64, 341,933.93 and 78,212.07 is: 117,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,010.64 : 341,933.93 = 78,212.07 : x
  2. Step 2: Convert to fraction form
    228,010.64/341,933.93 = 78,212.07/x
  3. Step 3: Cross multiply
    228,010.64x = 341,933.93 × 78,212.07
  4. Step 4: Simplify right side
    228,010.64x = 26,743,360,077.47
  5. Step 5: Solve for x
    x = 26,743,360,077.47/228,010.64
  6. Step 6: Final answer
    x = 117,289.97

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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.