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Finding the Fourth Proportional to 213,893.95, 321,156.33 and 119,308.94

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Solution

The fourth proportional to 213,893.95, 321,156.33 and 119,308.94 is: 179,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,893.95 : 321,156.33 = 119,308.94 : x
  2. Step 2: Convert to fraction form
    213,893.95/321,156.33 = 119,308.94/x
  3. Step 3: Cross multiply
    213,893.95x = 321,156.33 × 119,308.94
  4. Step 4: Simplify right side
    213,893.95x = 38,316,821,306.59
  5. Step 5: Solve for x
    x = 38,316,821,306.59/213,893.95
  6. Step 6: Final answer
    x = 179,139.34

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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.