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Finding the Fourth Proportional to 100,461.60, 150,519.60 and 53,006.40

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Solution

The fourth proportional to 100,461.60, 150,519.60 and 53,006.40 is: 79,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,461.60 : 150,519.60 = 53,006.40 : x
  2. Step 2: Convert to fraction form
    100,461.60/150,519.60 = 53,006.40/x
  3. Step 3: Cross multiply
    100,461.60x = 150,519.60 × 53,006.40
  4. Step 4: Simplify right side
    100,461.60x = 7,978,502,125.44
  5. Step 5: Solve for x
    x = 7,978,502,125.44/100,461.60
  6. Step 6: Final answer
    x = 79,418.43

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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.