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Finding the Fourth Proportional to 139,470.10, 192,469.41 and 75,807.86

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Solution

The fourth proportional to 139,470.10, 192,469.41 and 75,807.86 is: 104,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,470.10 : 192,469.41 = 75,807.86 : x
  2. Step 2: Convert to fraction form
    139,470.10/192,469.41 = 75,807.86/x
  3. Step 3: Cross multiply
    139,470.10x = 192,469.41 × 75,807.86
  4. Step 4: Simplify right side
    139,470.10x = 14,590,693,125.22
  5. Step 5: Solve for x
    x = 14,590,693,125.22/139,470.10
  6. Step 6: Final answer
    x = 104,615.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.