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Finding the Fourth Proportional to 142,771.82, 214,007.03 and 47,912.07

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Solution

The fourth proportional to 142,771.82, 214,007.03 and 47,912.07 is: 71,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,771.82 : 214,007.03 = 47,912.07 : x
  2. Step 2: Convert to fraction form
    142,771.82/214,007.03 = 47,912.07/x
  3. Step 3: Cross multiply
    142,771.82x = 214,007.03 × 47,912.07
  4. Step 4: Simplify right side
    142,771.82x = 10,253,518,492.26
  5. Step 5: Solve for x
    x = 10,253,518,492.26/142,771.82
  6. Step 6: Final answer
    x = 71,817.52

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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.