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Finding the Fourth Proportional to 103,048.85, 154,595.35 and 31,969.96

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Solution

The fourth proportional to 103,048.85, 154,595.35 and 31,969.96 is: 47,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,048.85 : 154,595.35 = 31,969.96 : x
  2. Step 2: Convert to fraction form
    103,048.85/154,595.35 = 31,969.96/x
  3. Step 3: Cross multiply
    103,048.85x = 154,595.35 × 31,969.96
  4. Step 4: Simplify right side
    103,048.85x = 4,942,406,629.33
  5. Step 5: Solve for x
    x = 4,942,406,629.33/103,048.85
  6. Step 6: Final answer
    x = 47,961.78

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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.