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Finding the Fourth Proportional to 147,814.52, 203,984 and 79,831.48

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Solution

The fourth proportional to 147,814.52, 203,984 and 79,831.48 is: 110,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,814.52 : 203,984 = 79,831.48 : x
  2. Step 2: Convert to fraction form
    147,814.52/203,984 = 79,831.48/x
  3. Step 3: Cross multiply
    147,814.52x = 203,984 × 79,831.48
  4. Step 4: Simplify right side
    147,814.52x = 16,284,344,616.32
  5. Step 5: Solve for x
    x = 16,284,344,616.32/147,814.52
  6. Step 6: Final answer
    x = 110,167.42

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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.