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Finding the Fourth Proportional to 213,245.45, 319,868.58 and 55,473.65

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Solution

The fourth proportional to 213,245.45, 319,868.58 and 55,473.65 is: 83,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,245.45 : 319,868.58 = 55,473.65 : x
  2. Step 2: Convert to fraction form
    213,245.45/319,868.58 = 55,473.65/x
  3. Step 3: Cross multiply
    213,245.45x = 319,868.58 × 55,473.65
  4. Step 4: Simplify right side
    213,245.45x = 17,744,276,053.57
  5. Step 5: Solve for x
    x = 17,744,276,053.57/213,245.45
  6. Step 6: Final answer
    x = 83,210.57

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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.