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Finding the Fourth Proportional to 109,470.88, 164,140.32 and 42,831.44

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Solution

The fourth proportional to 109,470.88, 164,140.32 and 42,831.44 is: 64,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,470.88 : 164,140.32 = 42,831.44 : x
  2. Step 2: Convert to fraction form
    109,470.88/164,140.32 = 42,831.44/x
  3. Step 3: Cross multiply
    109,470.88x = 164,140.32 × 42,831.44
  4. Step 4: Simplify right side
    109,470.88x = 7,030,366,267.66
  5. Step 5: Solve for x
    x = 7,030,366,267.66/109,470.88
  6. Step 6: Final answer
    x = 64,221.34

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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.