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Finding the Fourth Proportional to 51,424, 77,142.12 and 18,137.16

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Solution

The fourth proportional to 51,424, 77,142.12 and 18,137.16 is: 27,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,424 : 77,142.12 = 18,137.16 : x
  2. Step 2: Convert to fraction form
    51,424/77,142.12 = 18,137.16/x
  3. Step 3: Cross multiply
    51,424x = 77,142.12 × 18,137.16
  4. Step 4: Simplify right side
    51,424x = 1,399,138,973.18
  5. Step 5: Solve for x
    x = 1,399,138,973.18/51,424
  6. Step 6: Final answer
    x = 27,207.90

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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.