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Finding the Fourth Proportional to 212,615.72, 318,935.22 and 86,237.20

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Solution

The fourth proportional to 212,615.72, 318,935.22 and 86,237.20 is: 129,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,615.72 : 318,935.22 = 86,237.20 : x
  2. Step 2: Convert to fraction form
    212,615.72/318,935.22 = 86,237.20/x
  3. Step 3: Cross multiply
    212,615.72x = 318,935.22 × 86,237.20
  4. Step 4: Simplify right side
    212,615.72x = 27,504,080,354.18
  5. Step 5: Solve for x
    x = 27,504,080,354.18/212,615.72
  6. Step 6: Final answer
    x = 129,360.52

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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.