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Finding the Fourth Proportional to 210,141.33, 289,989.27 and 114,648

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Solution

The fourth proportional to 210,141.33, 289,989.27 and 114,648 is: 158,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,141.33 : 289,989.27 = 114,648 : x
  2. Step 2: Convert to fraction form
    210,141.33/289,989.27 = 114,648/x
  3. Step 3: Cross multiply
    210,141.33x = 289,989.27 × 114,648
  4. Step 4: Simplify right side
    210,141.33x = 33,246,689,826.96
  5. Step 5: Solve for x
    x = 33,246,689,826.96/210,141.33
  6. Step 6: Final answer
    x = 158,211.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.