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Finding the Fourth Proportional to 100,680.48, 138,734.19 and 77,880.96

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Solution

The fourth proportional to 100,680.48, 138,734.19 and 77,880.96 is: 107,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,680.48 : 138,734.19 = 77,880.96 : x
  2. Step 2: Convert to fraction form
    100,680.48/138,734.19 = 77,880.96/x
  3. Step 3: Cross multiply
    100,680.48x = 138,734.19 × 77,880.96
  4. Step 4: Simplify right side
    100,680.48x = 10,804,751,902.02
  5. Step 5: Solve for x
    x = 10,804,751,902.02/100,680.48
  6. Step 6: Final answer
    x = 107,317.25

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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.