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Finding the Fourth Proportional to 210,081.84, 289,916.85 and 114,591.96

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Solution

The fourth proportional to 210,081.84, 289,916.85 and 114,591.96 is: 158,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,081.84 : 289,916.85 = 114,591.96 : x
  2. Step 2: Convert to fraction form
    210,081.84/289,916.85 = 114,591.96/x
  3. Step 3: Cross multiply
    210,081.84x = 289,916.85 × 114,591.96
  4. Step 4: Simplify right side
    210,081.84x = 33,222,140,078.53
  5. Step 5: Solve for x
    x = 33,222,140,078.53/210,081.84
  6. Step 6: Final answer
    x = 158,139.04

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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.