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Finding the Fourth Proportional to 185,704.21, 256,271.80 and 100,821.28

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Solution

The fourth proportional to 185,704.21, 256,271.80 and 100,821.28 is: 139,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,704.21 : 256,271.80 = 100,821.28 : x
  2. Step 2: Convert to fraction form
    185,704.21/256,271.80 = 100,821.28/x
  3. Step 3: Cross multiply
    185,704.21x = 256,271.80 × 100,821.28
  4. Step 4: Simplify right side
    185,704.21x = 25,837,650,903.90
  5. Step 5: Solve for x
    x = 25,837,650,903.90/185,704.21
  6. Step 6: Final answer
    x = 139,133.36

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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.