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Finding the Fourth Proportional to 197,280, 295,958.88 and 64,151.68

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Solution

The fourth proportional to 197,280, 295,958.88 and 64,151.68 is: 96,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,280 : 295,958.88 = 64,151.68 : x
  2. Step 2: Convert to fraction form
    197,280/295,958.88 = 64,151.68/x
  3. Step 3: Cross multiply
    197,280x = 295,958.88 × 64,151.68
  4. Step 4: Simplify right side
    197,280x = 18,986,259,362.92
  5. Step 5: Solve for x
    x = 18,986,259,362.92/197,280
  6. Step 6: Final answer
    x = 96,240.16

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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.