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Finding the Fourth Proportional to 163,702.40, 225,945.60 and 107,081.60

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Solution

The fourth proportional to 163,702.40, 225,945.60 and 107,081.60 is: 147,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,702.40 : 225,945.60 = 107,081.60 : x
  2. Step 2: Convert to fraction form
    163,702.40/225,945.60 = 107,081.60/x
  3. Step 3: Cross multiply
    163,702.40x = 225,945.60 × 107,081.60
  4. Step 4: Simplify right side
    163,702.40x = 24,194,616,360.96
  5. Step 5: Solve for x
    x = 24,194,616,360.96/163,702.40
  6. Step 6: Final answer
    x = 147,796.34

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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.