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Finding the Fourth Proportional to 213,154.72, 319,662.86 and 70,961.78

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Solution

The fourth proportional to 213,154.72, 319,662.86 and 70,961.78 is: 106,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,154.72 : 319,662.86 = 70,961.78 : x
  2. Step 2: Convert to fraction form
    213,154.72/319,662.86 = 70,961.78/x
  3. Step 3: Cross multiply
    213,154.72x = 319,662.86 × 70,961.78
  4. Step 4: Simplify right side
    213,154.72x = 22,683,845,989.84
  5. Step 5: Solve for x
    x = 22,683,845,989.84/213,154.72
  6. Step 6: Final answer
    x = 106,419.63

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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.