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Finding the Fourth Proportional to 213,071.37, 319,523.97 and 79,878.93

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Solution

The fourth proportional to 213,071.37, 319,523.97 and 79,878.93 is: 119,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,071.37 : 319,523.97 = 79,878.93 : x
  2. Step 2: Convert to fraction form
    213,071.37/319,523.97 = 79,878.93/x
  3. Step 3: Cross multiply
    213,071.37x = 319,523.97 × 79,878.93
  4. Step 4: Simplify right side
    213,071.37x = 25,523,232,832.95
  5. Step 5: Solve for x
    x = 25,523,232,832.95/213,071.37
  6. Step 6: Final answer
    x = 119,787.25

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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.