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Finding the Fourth Proportional to 209,793.72, 314,721.54 and 76,642.86

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Solution

The fourth proportional to 209,793.72, 314,721.54 and 76,642.86 is: 114,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,793.72 : 314,721.54 = 76,642.86 : x
  2. Step 2: Convert to fraction form
    209,793.72/314,721.54 = 76,642.86/x
  3. Step 3: Cross multiply
    209,793.72x = 314,721.54 × 76,642.86
  4. Step 4: Simplify right side
    209,793.72x = 24,121,158,929.20
  5. Step 5: Solve for x
    x = 24,121,158,929.20/209,793.72
  6. Step 6: Final answer
    x = 114,975.60

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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.