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Finding the Fourth Proportional to 196,465, 294,719.26 and 70,134.68

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Solution

The fourth proportional to 196,465, 294,719.26 and 70,134.68 is: 105,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,465 : 294,719.26 = 70,134.68 : x
  2. Step 2: Convert to fraction form
    196,465/294,719.26 = 70,134.68/x
  3. Step 3: Cross multiply
    196,465x = 294,719.26 × 70,134.68
  4. Step 4: Simplify right side
    196,465x = 20,670,040,989.94
  5. Step 5: Solve for x
    x = 20,670,040,989.94/196,465
  6. Step 6: Final answer
    x = 105,209.79

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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.