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Finding the Fourth Proportional to 289,722, 434,331.84 and 112,106.80

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Solution

The fourth proportional to 289,722, 434,331.84 and 112,106.80 is: 168,063.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,722 : 434,331.84 = 112,106.80 : x
  2. Step 2: Convert to fraction form
    289,722/434,331.84 = 112,106.80/x
  3. Step 3: Cross multiply
    289,722x = 434,331.84 × 112,106.80
  4. Step 4: Simplify right side
    289,722x = 48,691,552,720.51
  5. Step 5: Solve for x
    x = 48,691,552,720.51/289,722
  6. Step 6: Final answer
    x = 168,063.01

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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.