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Finding the Fourth Proportional to 213,243.95, 319,866.33 and 55,472.15

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Solution

The fourth proportional to 213,243.95, 319,866.33 and 55,472.15 is: 83,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,243.95 : 319,866.33 = 55,472.15 : x
  2. Step 2: Convert to fraction form
    213,243.95/319,866.33 = 55,472.15/x
  3. Step 3: Cross multiply
    213,243.95x = 319,866.33 × 55,472.15
  4. Step 4: Simplify right side
    213,243.95x = 17,743,671,438.38
  5. Step 5: Solve for x
    x = 17,743,671,438.38/213,243.95
  6. Step 6: Final answer
    x = 83,208.32

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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.