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Finding the Fourth Proportional to 289,671.98, 434,425.04 and 100,082.76

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Solution

The fourth proportional to 289,671.98, 434,425.04 and 100,082.76 is: 150,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,671.98 : 434,425.04 = 100,082.76 : x
  2. Step 2: Convert to fraction form
    289,671.98/434,425.04 = 100,082.76/x
  3. Step 3: Cross multiply
    289,671.98x = 434,425.04 × 100,082.76
  4. Step 4: Simplify right side
    289,671.98x = 43,478,457,016.31
  5. Step 5: Solve for x
    x = 43,478,457,016.31/289,671.98
  6. Step 6: Final answer
    x = 150,095.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.