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Finding the Fourth Proportional to 197,139.80, 295,709.70 and 91,969.40

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Solution

The fourth proportional to 197,139.80, 295,709.70 and 91,969.40 is: 137,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,139.80 : 295,709.70 = 91,969.40 : x
  2. Step 2: Convert to fraction form
    197,139.80/295,709.70 = 91,969.40/x
  3. Step 3: Cross multiply
    197,139.80x = 295,709.70 × 91,969.40
  4. Step 4: Simplify right side
    197,139.80x = 27,196,243,683.18
  5. Step 5: Solve for x
    x = 27,196,243,683.18/197,139.80
  6. Step 6: Final answer
    x = 137,954.10

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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.