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Finding the Fourth Proportional to 197,678.40, 296,386.56 and 108,974.40

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Solution

The fourth proportional to 197,678.40, 296,386.56 and 108,974.40 is: 163,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,678.40 : 296,386.56 = 108,974.40 : x
  2. Step 2: Convert to fraction form
    197,678.40/296,386.56 = 108,974.40/x
  3. Step 3: Cross multiply
    197,678.40x = 296,386.56 × 108,974.40
  4. Step 4: Simplify right side
    197,678.40x = 32,298,547,544.06
  5. Step 5: Solve for x
    x = 32,298,547,544.06/197,678.40
  6. Step 6: Final answer
    x = 163,389.36

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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.