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Finding the Fourth Proportional to 51,424.40, 77,165.40 and 21,837.20

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Solution

The fourth proportional to 51,424.40, 77,165.40 and 21,837.20 is: 32,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,424.40 : 77,165.40 = 21,837.20 : x
  2. Step 2: Convert to fraction form
    51,424.40/77,165.40 = 21,837.20/x
  3. Step 3: Cross multiply
    51,424.40x = 77,165.40 × 21,837.20
  4. Step 4: Simplify right side
    51,424.40x = 1,685,076,272.88
  5. Step 5: Solve for x
    x = 1,685,076,272.88/51,424.40
  6. Step 6: Final answer
    x = 32,768.03

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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.