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Finding the Fourth Proportional to 212,405.31, 318,608.87 and 86,048.01

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Solution

The fourth proportional to 212,405.31, 318,608.87 and 86,048.01 is: 129,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,405.31 : 318,608.87 = 86,048.01 : x
  2. Step 2: Convert to fraction form
    212,405.31/318,608.87 = 86,048.01/x
  3. Step 3: Cross multiply
    212,405.31x = 318,608.87 × 86,048.01
  4. Step 4: Simplify right side
    212,405.31x = 27,415,658,801.61
  5. Step 5: Solve for x
    x = 27,415,658,801.61/212,405.31
  6. Step 6: Final answer
    x = 129,072.38

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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.