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Finding the Fourth Proportional to 213,366.66, 319,979.64 and 71,172.75

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Solution

The fourth proportional to 213,366.66, 319,979.64 and 71,172.75 is: 106,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,366.66 : 319,979.64 = 71,172.75 : x
  2. Step 2: Convert to fraction form
    213,366.66/319,979.64 = 71,172.75/x
  3. Step 3: Cross multiply
    213,366.66x = 319,979.64 × 71,172.75
  4. Step 4: Simplify right side
    213,366.66x = 22,773,830,889.17
  5. Step 5: Solve for x
    x = 22,773,830,889.17/213,366.66
  6. Step 6: Final answer
    x = 106,735.66

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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.