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Finding the Fourth Proportional to 70,422, 105,633.60 and 17,831.52

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Solution

The fourth proportional to 70,422, 105,633.60 and 17,831.52 is: 26,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,422 : 105,633.60 = 17,831.52 : x
  2. Step 2: Convert to fraction form
    70,422/105,633.60 = 17,831.52/x
  3. Step 3: Cross multiply
    70,422x = 105,633.60 × 17,831.52
  4. Step 4: Simplify right side
    70,422x = 1,883,607,651.07
  5. Step 5: Solve for x
    x = 1,883,607,651.07/70,422
  6. Step 6: Final answer
    x = 26,747.43

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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.