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Finding the Fourth Proportional to 209,760.86, 314,686.87 and 76,640.92

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Solution

The fourth proportional to 209,760.86, 314,686.87 and 76,640.92 is: 114,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,760.86 : 314,686.87 = 76,640.92 : x
  2. Step 2: Convert to fraction form
    209,760.86/314,686.87 = 76,640.92/x
  3. Step 3: Cross multiply
    209,760.86x = 314,686.87 × 76,640.92
  4. Step 4: Simplify right side
    209,760.86x = 24,117,890,250.40
  5. Step 5: Solve for x
    x = 24,117,890,250.40/209,760.86
  6. Step 6: Final answer
    x = 114,978.03

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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.