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Finding the Fourth Proportional to 98,517, 135,953.46 and 53,805

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Solution

The fourth proportional to 98,517, 135,953.46 and 53,805 is: 74,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,517 : 135,953.46 = 53,805 : x
  2. Step 2: Convert to fraction form
    98,517/135,953.46 = 53,805/x
  3. Step 3: Cross multiply
    98,517x = 135,953.46 × 53,805
  4. Step 4: Simplify right side
    98,517x = 7,314,975,915.30
  5. Step 5: Solve for x
    x = 7,314,975,915.30/98,517
  6. Step 6: Final answer
    x = 74,250.90

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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.