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Finding the Fourth Proportional to 213,543.70, 319,732.35 and 154,057.30

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Solution

The fourth proportional to 213,543.70, 319,732.35 and 154,057.30 is: 230,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,543.70 : 319,732.35 = 154,057.30 : x
  2. Step 2: Convert to fraction form
    213,543.70/319,732.35 = 154,057.30/x
  3. Step 3: Cross multiply
    213,543.70x = 319,732.35 × 154,057.30
  4. Step 4: Simplify right side
    213,543.70x = 49,257,102,563.66
  5. Step 5: Solve for x
    x = 49,257,102,563.66/213,543.70
  6. Step 6: Final answer
    x = 230,665.21

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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.