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Finding the Fourth Proportional to 100,889.36, 139,222.78 and 57,837.98

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Solution

The fourth proportional to 100,889.36, 139,222.78 and 57,837.98 is: 79,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,889.36 : 139,222.78 = 57,837.98 : x
  2. Step 2: Convert to fraction form
    100,889.36/139,222.78 = 57,837.98/x
  3. Step 3: Cross multiply
    100,889.36x = 139,222.78 × 57,837.98
  4. Step 4: Simplify right side
    100,889.36x = 8,052,364,365.18
  5. Step 5: Solve for x
    x = 8,052,364,365.18/100,889.36
  6. Step 6: Final answer
    x = 79,813.81

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Why These Related Problems?

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