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Finding the Fourth Proportional to 51,458.72, 77,224.98 and 21,897.32

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Solution

The fourth proportional to 51,458.72, 77,224.98 and 21,897.32 is: 32,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,458.72 : 77,224.98 = 21,897.32 : x
  2. Step 2: Convert to fraction form
    51,458.72/77,224.98 = 21,897.32/x
  3. Step 3: Cross multiply
    51,458.72x = 77,224.98 × 21,897.32
  4. Step 4: Simplify right side
    51,458.72x = 1,691,020,099.05
  5. Step 5: Solve for x
    x = 1,691,020,099.05/51,458.72
  6. Step 6: Final answer
    x = 32,861.68

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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.