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Finding the Fourth Proportional to 103,186.88, 154,728.48 and 47,821.76

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Solution

The fourth proportional to 103,186.88, 154,728.48 and 47,821.76 is: 71,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,186.88 : 154,728.48 = 47,821.76 : x
  2. Step 2: Convert to fraction form
    103,186.88/154,728.48 = 47,821.76/x
  3. Step 3: Cross multiply
    103,186.88x = 154,728.48 × 47,821.76
  4. Step 4: Simplify right side
    103,186.88x = 7,399,388,235.72
  5. Step 5: Solve for x
    x = 7,399,388,235.72/103,186.88
  6. Step 6: Final answer
    x = 71,708.61

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1.5x scale

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.