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Finding the Fourth Proportional to 210,116, 289,960.08 and 114,623.08

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Solution

The fourth proportional to 210,116, 289,960.08 and 114,623.08 is: 158,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,116 : 289,960.08 = 114,623.08 : x
  2. Step 2: Convert to fraction form
    210,116/289,960.08 = 114,623.08/x
  3. Step 3: Cross multiply
    210,116x = 289,960.08 × 114,623.08
  4. Step 4: Simplify right side
    210,116x = 33,236,117,446.65
  5. Step 5: Solve for x
    x = 33,236,117,446.65/210,116
  6. Step 6: Final answer
    x = 158,179.85

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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.