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Finding the Fourth Proportional to 210,453.49, 315,785.84 and 98,142.54

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Solution

The fourth proportional to 210,453.49, 315,785.84 and 98,142.54 is: 147,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,453.49 : 315,785.84 = 98,142.54 : x
  2. Step 2: Convert to fraction form
    210,453.49/315,785.84 = 98,142.54/x
  3. Step 3: Cross multiply
    210,453.49x = 315,785.84 × 98,142.54
  4. Step 4: Simplify right side
    210,453.49x = 30,992,024,433.63
  5. Step 5: Solve for x
    x = 30,992,024,433.63/210,453.49
  6. Step 6: Final answer
    x = 147,263.06

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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.