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Finding the Fourth Proportional to 230,102.70, 345,283.65 and 89,843.10

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Solution

The fourth proportional to 230,102.70, 345,283.65 and 89,843.10 is: 134,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,102.70 : 345,283.65 = 89,843.10 : x
  2. Step 2: Convert to fraction form
    230,102.70/345,283.65 = 89,843.10/x
  3. Step 3: Cross multiply
    230,102.70x = 345,283.65 × 89,843.10
  4. Step 4: Simplify right side
    230,102.70x = 31,021,353,495.32
  5. Step 5: Solve for x
    x = 31,021,353,495.32/230,102.70
  6. Step 6: Final answer
    x = 134,815.25

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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.