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Finding the Fourth Proportional to 103,207.98, 154,682.46 and 55,821.18

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Solution

The fourth proportional to 103,207.98, 154,682.46 and 55,821.18 is: 83,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,207.98 : 154,682.46 = 55,821.18 : x
  2. Step 2: Convert to fraction form
    103,207.98/154,682.46 = 55,821.18/x
  3. Step 3: Cross multiply
    103,207.98x = 154,682.46 × 55,821.18
  4. Step 4: Simplify right side
    103,207.98x = 8,634,557,442.50
  5. Step 5: Solve for x
    x = 8,634,557,442.50/103,207.98
  6. Step 6: Final answer
    x = 83,661.72

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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.