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Finding the Fourth Proportional to 51,501, 71,063.16 and 28,840.98

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Solution

The fourth proportional to 51,501, 71,063.16 and 28,840.98 is: 39,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,501 : 71,063.16 = 28,840.98 : x
  2. Step 2: Convert to fraction form
    51,501/71,063.16 = 28,840.98/x
  3. Step 3: Cross multiply
    51,501x = 71,063.16 × 28,840.98
  4. Step 4: Simplify right side
    51,501x = 2,049,531,176.30
  5. Step 5: Solve for x
    x = 2,049,531,176.30/51,501
  6. Step 6: Final answer
    x = 39,795.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.