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Finding the Fourth Proportional to 212,389.33, 318,584.85 and 86,031.95

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Solution

The fourth proportional to 212,389.33, 318,584.85 and 86,031.95 is: 129,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,389.33 : 318,584.85 = 86,031.95 : x
  2. Step 2: Convert to fraction form
    212,389.33/318,584.85 = 86,031.95/x
  3. Step 3: Cross multiply
    212,389.33x = 318,584.85 × 86,031.95
  4. Step 4: Simplify right side
    212,389.33x = 27,408,474,866.43
  5. Step 5: Solve for x
    x = 27,408,474,866.43/212,389.33
  6. Step 6: Final answer
    x = 129,048.27

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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.