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Finding the Fourth Proportional to 100,570.98, 138,772.54 and 58,121.32

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Solution

The fourth proportional to 100,570.98, 138,772.54 and 58,121.32 is: 80,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570.98 : 138,772.54 = 58,121.32 : x
  2. Step 2: Convert to fraction form
    100,570.98/138,772.54 = 58,121.32/x
  3. Step 3: Cross multiply
    100,570.98x = 138,772.54 × 58,121.32
  4. Step 4: Simplify right side
    100,570.98x = 8,065,643,204.55
  5. Step 5: Solve for x
    x = 8,065,643,204.55/100,570.98
  6. Step 6: Final answer
    x = 80,198.51

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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.