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Finding the Fourth Proportional to 213,160.80, 319,856.40 and 94,850.40

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Solution

The fourth proportional to 213,160.80, 319,856.40 and 94,850.40 is: 142,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,160.80 : 319,856.40 = 94,850.40 : x
  2. Step 2: Convert to fraction form
    213,160.80/319,856.40 = 94,850.40/x
  3. Step 3: Cross multiply
    213,160.80x = 319,856.40 × 94,850.40
  4. Step 4: Simplify right side
    213,160.80x = 30,338,507,482.56
  5. Step 5: Solve for x
    x = 30,338,507,482.56/213,160.80
  6. Step 6: Final answer
    x = 142,326.86

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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.