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Finding the Fourth Proportional to 103,354.92, 154,921.50 and 53,421.48

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Solution

The fourth proportional to 103,354.92, 154,921.50 and 53,421.48 is: 80,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,354.92 : 154,921.50 = 53,421.48 : x
  2. Step 2: Convert to fraction form
    103,354.92/154,921.50 = 53,421.48/x
  3. Step 3: Cross multiply
    103,354.92x = 154,921.50 × 53,421.48
  4. Step 4: Simplify right side
    103,354.92x = 8,276,135,813.82
  5. Step 5: Solve for x
    x = 8,276,135,813.82/103,354.92
  6. Step 6: Final answer
    x = 80,074.91

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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.