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Finding the Fourth Proportional to 142,661.52, 213,809.16 and 53,809.20

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Solution

The fourth proportional to 142,661.52, 213,809.16 and 53,809.20 is: 80,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,661.52 : 213,809.16 = 53,809.20 : x
  2. Step 2: Convert to fraction form
    142,661.52/213,809.16 = 53,809.20/x
  3. Step 3: Cross multiply
    142,661.52x = 213,809.16 × 53,809.20
  4. Step 4: Simplify right side
    142,661.52x = 11,504,899,852.27
  5. Step 5: Solve for x
    x = 11,504,899,852.27/142,661.52
  6. Step 6: Final answer
    x = 80,644.73

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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.