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Finding the Fourth Proportional to 212,141.52, 318,300.40 and 85,871.02

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Solution

The fourth proportional to 212,141.52, 318,300.40 and 85,871.02 is: 128,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,141.52 : 318,300.40 = 85,871.02 : x
  2. Step 2: Convert to fraction form
    212,141.52/318,300.40 = 85,871.02/x
  3. Step 3: Cross multiply
    212,141.52x = 318,300.40 × 85,871.02
  4. Step 4: Simplify right side
    212,141.52x = 27,332,780,014.41
  5. Step 5: Solve for x
    x = 27,332,780,014.41/212,141.52
  6. Step 6: Final answer
    x = 128,842.20

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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.