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Finding the Fourth Proportional to 53,408, 80,125.68 and 20,128.34

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Solution

The fourth proportional to 53,408, 80,125.68 and 20,128.34 is: 30,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408 : 80,125.68 = 20,128.34 : x
  2. Step 2: Convert to fraction form
    53,408/80,125.68 = 20,128.34/x
  3. Step 3: Cross multiply
    53,408x = 80,125.68 × 20,128.34
  4. Step 4: Simplify right side
    53,408x = 1,612,796,929.77
  5. Step 5: Solve for x
    x = 1,612,796,929.77/53,408
  6. Step 6: Final answer
    x = 30,197.67

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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.