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Finding the Fourth Proportional to 105,964.80, 158,889.60 and 43,641.60

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Solution

The fourth proportional to 105,964.80, 158,889.60 and 43,641.60 is: 65,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,964.80 : 158,889.60 = 43,641.60 : x
  2. Step 2: Convert to fraction form
    105,964.80/158,889.60 = 43,641.60/x
  3. Step 3: Cross multiply
    105,964.80x = 158,889.60 × 43,641.60
  4. Step 4: Simplify right side
    105,964.80x = 6,934,196,367.36
  5. Step 5: Solve for x
    x = 6,934,196,367.36/105,964.80
  6. Step 6: Final answer
    x = 65,438.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.