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Finding the Fourth Proportional to 196,491.76, 294,491.14 and 84,040

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Solution

The fourth proportional to 196,491.76, 294,491.14 and 84,040 is: 125,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,491.76 : 294,491.14 = 84,040 : x
  2. Step 2: Convert to fraction form
    196,491.76/294,491.14 = 84,040/x
  3. Step 3: Cross multiply
    196,491.76x = 294,491.14 × 84,040
  4. Step 4: Simplify right side
    196,491.76x = 24,749,035,405.60
  5. Step 5: Solve for x
    x = 24,749,035,405.60/196,491.76
  6. Step 6: Final answer
    x = 125,954.57

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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.