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Finding the Fourth Proportional to 163,853.87, 245,876.34 and 69,078.25

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Solution

The fourth proportional to 163,853.87, 245,876.34 and 69,078.25 is: 103,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,853.87 : 245,876.34 = 69,078.25 : x
  2. Step 2: Convert to fraction form
    163,853.87/245,876.34 = 69,078.25/x
  3. Step 3: Cross multiply
    163,853.87x = 245,876.34 × 69,078.25
  4. Step 4: Simplify right side
    163,853.87x = 16,984,706,054.22
  5. Step 5: Solve for x
    x = 16,984,706,054.22/163,853.87
  6. Step 6: Final answer
    x = 103,657.64

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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.