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Finding the Fourth Proportional to 213,272, 319,907.08 and 86,884.05

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Solution

The fourth proportional to 213,272, 319,907.08 and 86,884.05 is: 130,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,272 : 319,907.08 = 86,884.05 : x
  2. Step 2: Convert to fraction form
    213,272/319,907.08 = 86,884.05/x
  3. Step 3: Cross multiply
    213,272x = 319,907.08 × 86,884.05
  4. Step 4: Simplify right side
    213,272x = 27,794,822,734.07
  5. Step 5: Solve for x
    x = 27,794,822,734.07/213,272
  6. Step 6: Final answer
    x = 130,325.70

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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.