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Finding the Fourth Proportional to 49,975.75, 74,984.34 and 21,881.30

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Solution

The fourth proportional to 49,975.75, 74,984.34 and 21,881.30 is: 32,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,975.75 : 74,984.34 = 21,881.30 : x
  2. Step 2: Convert to fraction form
    49,975.75/74,984.34 = 21,881.30/x
  3. Step 3: Cross multiply
    49,975.75x = 74,984.34 × 21,881.30
  4. Step 4: Simplify right side
    49,975.75x = 1,640,754,838.84
  5. Step 5: Solve for x
    x = 1,640,754,838.84/49,975.75
  6. Step 6: Final answer
    x = 32,831.02

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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.