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Finding the Fourth Proportional to 83,987.84, 115,893.60 and 48,168

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Solution

The fourth proportional to 83,987.84, 115,893.60 and 48,168 is: 66,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,987.84 : 115,893.60 = 48,168 : x
  2. Step 2: Convert to fraction form
    83,987.84/115,893.60 = 48,168/x
  3. Step 3: Cross multiply
    83,987.84x = 115,893.60 × 48,168
  4. Step 4: Simplify right side
    83,987.84x = 5,582,362,924.80
  5. Step 5: Solve for x
    x = 5,582,362,924.80/83,987.84
  6. Step 6: Final answer
    x = 66,466.32

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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.