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Finding the Fourth Proportional to 142,808.31, 214,063.92 and 47,968.11

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Solution

The fourth proportional to 142,808.31, 214,063.92 and 47,968.11 is: 71,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,808.31 : 214,063.92 = 47,968.11 : x
  2. Step 2: Convert to fraction form
    142,808.31/214,063.92 = 47,968.11/x
  3. Step 3: Cross multiply
    142,808.31x = 214,063.92 × 47,968.11
  4. Step 4: Simplify right side
    142,808.31x = 10,268,241,661.59
  5. Step 5: Solve for x
    x = 10,268,241,661.59/142,808.31
  6. Step 6: Final answer
    x = 71,902.27

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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.