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Finding the Fourth Proportional to 210,414.95, 315,728.01 and 98,103.96

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Solution

The fourth proportional to 210,414.95, 315,728.01 and 98,103.96 is: 147,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,414.95 : 315,728.01 = 98,103.96 : x
  2. Step 2: Convert to fraction form
    210,414.95/315,728.01 = 98,103.96/x
  3. Step 3: Cross multiply
    210,414.95x = 315,728.01 × 98,103.96
  4. Step 4: Simplify right side
    210,414.95x = 30,974,168,063.92
  5. Step 5: Solve for x
    x = 30,974,168,063.92/210,414.95
  6. Step 6: Final answer
    x = 147,205.17

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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.