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Finding the Fourth Proportional to 197,215, 295,674.81 and 64,015.72

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Solution

The fourth proportional to 197,215, 295,674.81 and 64,015.72 is: 95,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,215 : 295,674.81 = 64,015.72 : x
  2. Step 2: Convert to fraction form
    197,215/295,674.81 = 64,015.72/x
  3. Step 3: Cross multiply
    197,215x = 295,674.81 × 64,015.72
  4. Step 4: Simplify right side
    197,215x = 18,927,835,848.01
  5. Step 5: Solve for x
    x = 18,927,835,848.01/197,215
  6. Step 6: Final answer
    x = 95,975.64

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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.