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Finding the Fourth Proportional to 100,838.93, 139,200.75 and 71,786.03

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Solution

The fourth proportional to 100,838.93, 139,200.75 and 71,786.03 is: 99,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.93 : 139,200.75 = 71,786.03 : x
  2. Step 2: Convert to fraction form
    100,838.93/139,200.75 = 71,786.03/x
  3. Step 3: Cross multiply
    100,838.93x = 139,200.75 × 71,786.03
  4. Step 4: Simplify right side
    100,838.93x = 9,992,668,519.52
  5. Step 5: Solve for x
    x = 9,992,668,519.52/100,838.93
  6. Step 6: Final answer
    x = 99,095.35

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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.