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Finding the Fourth Proportional to 212,717.20, 319,075.80 and 133,985.20

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Solution

The fourth proportional to 212,717.20, 319,075.80 and 133,985.20 is: 200,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,717.20 : 319,075.80 = 133,985.20 : x
  2. Step 2: Convert to fraction form
    212,717.20/319,075.80 = 133,985.20/x
  3. Step 3: Cross multiply
    212,717.20x = 319,075.80 × 133,985.20
  4. Step 4: Simplify right side
    212,717.20x = 42,751,434,878.16
  5. Step 5: Solve for x
    x = 42,751,434,878.16/212,717.20
  6. Step 6: Final answer
    x = 200,977.80

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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.