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Finding the Fourth Proportional to 132,021.20, 198,031.80 and 53,094.80

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Solution

The fourth proportional to 132,021.20, 198,031.80 and 53,094.80 is: 79,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,021.20 : 198,031.80 = 53,094.80 : x
  2. Step 2: Convert to fraction form
    132,021.20/198,031.80 = 53,094.80/x
  3. Step 3: Cross multiply
    132,021.20x = 198,031.80 × 53,094.80
  4. Step 4: Simplify right side
    132,021.20x = 10,514,458,814.64
  5. Step 5: Solve for x
    x = 10,514,458,814.64/132,021.20
  6. Step 6: Final answer
    x = 79,642.20

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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.