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Finding the Fourth Proportional to 210,079.92, 313,371.69 and 189,901.20

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Solution

The fourth proportional to 210,079.92, 313,371.69 and 189,901.20 is: 283,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,079.92 : 313,371.69 = 189,901.20 : x
  2. Step 2: Convert to fraction form
    210,079.92/313,371.69 = 189,901.20/x
  3. Step 3: Cross multiply
    210,079.92x = 313,371.69 × 189,901.20
  4. Step 4: Simplify right side
    210,079.92x = 59,509,659,977.03
  5. Step 5: Solve for x
    x = 59,509,659,977.03/210,079.92
  6. Step 6: Final answer
    x = 283,271.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.