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Finding the Fourth Proportional to 118,190, 163,115.86 and 65,807.24

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Solution

The fourth proportional to 118,190, 163,115.86 and 65,807.24 is: 90,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,190 : 163,115.86 = 65,807.24 : x
  2. Step 2: Convert to fraction form
    118,190/163,115.86 = 65,807.24/x
  3. Step 3: Cross multiply
    118,190x = 163,115.86 × 65,807.24
  4. Step 4: Simplify right side
    118,190x = 10,734,204,546.83
  5. Step 5: Solve for x
    x = 10,734,204,546.83/118,190
  6. Step 6: Final answer
    x = 90,821.60

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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.