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Finding the Fourth Proportional to 30,105.98, 45,188.13 and 14,534.54

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Solution

The fourth proportional to 30,105.98, 45,188.13 and 14,534.54 is: 21,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105.98 : 45,188.13 = 14,534.54 : x
  2. Step 2: Convert to fraction form
    30,105.98/45,188.13 = 14,534.54/x
  3. Step 3: Cross multiply
    30,105.98x = 45,188.13 × 14,534.54
  4. Step 4: Simplify right side
    30,105.98x = 656,788,683.01
  5. Step 5: Solve for x
    x = 656,788,683.01/30,105.98
  6. Step 6: Final answer
    x = 21,815.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.