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Finding the Fourth Proportional to 100,891.59, 139,283.83 and 78,179.60

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Solution

The fourth proportional to 100,891.59, 139,283.83 and 78,179.60 is: 107,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,891.59 : 139,283.83 = 78,179.60 : x
  2. Step 2: Convert to fraction form
    100,891.59/139,283.83 = 78,179.60/x
  3. Step 3: Cross multiply
    100,891.59x = 139,283.83 × 78,179.60
  4. Step 4: Simplify right side
    100,891.59x = 10,889,153,558.45
  5. Step 5: Solve for x
    x = 10,889,153,558.45/100,891.59
  6. Step 6: Final answer
    x = 107,929.25

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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.