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Finding the Fourth Proportional to 102,889.63, 154,294.65 and 35,408.89

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Solution

The fourth proportional to 102,889.63, 154,294.65 and 35,408.89 is: 53,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,889.63 : 154,294.65 = 35,408.89 : x
  2. Step 2: Convert to fraction form
    102,889.63/154,294.65 = 35,408.89/x
  3. Step 3: Cross multiply
    102,889.63x = 154,294.65 × 35,408.89
  4. Step 4: Simplify right side
    102,889.63x = 5,463,402,289.44
  5. Step 5: Solve for x
    x = 5,463,402,289.44/102,889.63
  6. Step 6: Final answer
    x = 53,099.64

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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.