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Finding the Fourth Proportional to 210,113.73, 289,957.80 and 114,622.43

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Solution

The fourth proportional to 210,113.73, 289,957.80 and 114,622.43 is: 158,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,113.73 : 289,957.80 = 114,622.43 : x
  2. Step 2: Convert to fraction form
    210,113.73/289,957.80 = 114,622.43/x
  3. Step 3: Cross multiply
    210,113.73x = 289,957.80 × 114,622.43
  4. Step 4: Simplify right side
    210,113.73x = 33,235,666,183.67
  5. Step 5: Solve for x
    x = 33,235,666,183.67/210,113.73
  6. Step 6: Final answer
    x = 158,179.41

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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.