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Finding the Fourth Proportional to 51,458.58, 77,224.80 and 21,897.18

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Solution

The fourth proportional to 51,458.58, 77,224.80 and 21,897.18 is: 32,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,458.58 : 77,224.80 = 21,897.18 : x
  2. Step 2: Convert to fraction form
    51,458.58/77,224.80 = 21,897.18/x
  3. Step 3: Cross multiply
    51,458.58x = 77,224.80 × 21,897.18
  4. Step 4: Simplify right side
    51,458.58x = 1,691,005,346.06
  5. Step 5: Solve for x
    x = 1,691,005,346.06/51,458.58
  6. Step 6: Final answer
    x = 32,861.48

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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.