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Finding the Fourth Proportional to 197,391, 296,053.68 and 71,005.68

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Solution

The fourth proportional to 197,391, 296,053.68 and 71,005.68 is: 106,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,391 : 296,053.68 = 71,005.68 : x
  2. Step 2: Convert to fraction form
    197,391/296,053.68 = 71,005.68/x
  3. Step 3: Cross multiply
    197,391x = 296,053.68 × 71,005.68
  4. Step 4: Simplify right side
    197,391x = 21,021,492,864.90
  5. Step 5: Solve for x
    x = 21,021,492,864.90/197,391
  6. Step 6: Final answer
    x = 106,496.71

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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.