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Finding the Fourth Proportional to 102,408.39, 153,638.49 and 28,536.39

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Solution

The fourth proportional to 102,408.39, 153,638.49 and 28,536.39 is: 42,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408.39 : 153,638.49 = 28,536.39 : x
  2. Step 2: Convert to fraction form
    102,408.39/153,638.49 = 28,536.39/x
  3. Step 3: Cross multiply
    102,408.39x = 153,638.49 × 28,536.39
  4. Step 4: Simplify right side
    102,408.39x = 4,384,287,869.65
  5. Step 5: Solve for x
    x = 4,384,287,869.65/102,408.39
  6. Step 6: Final answer
    x = 42,811.80

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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.