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Finding the Fourth Proportional to 70,148.84, 105,186.38 and 47,968.56

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Solution

The fourth proportional to 70,148.84, 105,186.38 and 47,968.56 is: 71,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,148.84 : 105,186.38 = 47,968.56 : x
  2. Step 2: Convert to fraction form
    70,148.84/105,186.38 = 47,968.56/x
  3. Step 3: Cross multiply
    70,148.84x = 105,186.38 × 47,968.56
  4. Step 4: Simplify right side
    70,148.84x = 5,045,638,940.37
  5. Step 5: Solve for x
    x = 5,045,638,940.37/70,148.84
  6. Step 6: Final answer
    x = 71,927.62

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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.