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Finding the Fourth Proportional to 142,809.31, 214,065.42 and 47,969.11

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Solution

The fourth proportional to 142,809.31, 214,065.42 and 47,969.11 is: 71,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,809.31 : 214,065.42 = 47,969.11 : x
  2. Step 2: Convert to fraction form
    142,809.31/214,065.42 = 47,969.11/x
  3. Step 3: Cross multiply
    142,809.31x = 214,065.42 × 47,969.11
  4. Step 4: Simplify right side
    142,809.31x = 10,268,527,679.18
  5. Step 5: Solve for x
    x = 10,268,527,679.18/142,809.31
  6. Step 6: Final answer
    x = 71,903.77

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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.