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Finding the Fourth Proportional to 213,173.61, 319,685.34 and 70,980.27

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Solution

The fourth proportional to 213,173.61, 319,685.34 and 70,980.27 is: 106,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,173.61 : 319,685.34 = 70,980.27 : x
  2. Step 2: Convert to fraction form
    213,173.61/319,685.34 = 70,980.27/x
  3. Step 3: Cross multiply
    213,173.61x = 319,685.34 × 70,980.27
  4. Step 4: Simplify right side
    213,173.61x = 22,691,351,748.24
  5. Step 5: Solve for x
    x = 22,691,351,748.24/213,173.61
  6. Step 6: Final answer
    x = 106,445.41

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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.