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Finding the Fourth Proportional to 212,032.92, 318,207.05 and 85,674.27

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Solution

The fourth proportional to 212,032.92, 318,207.05 and 85,674.27 is: 128,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,032.92 : 318,207.05 = 85,674.27 : x
  2. Step 2: Convert to fraction form
    212,032.92/318,207.05 = 85,674.27/x
  3. Step 3: Cross multiply
    212,032.92x = 318,207.05 × 85,674.27
  4. Step 4: Simplify right side
    212,032.92x = 27,262,155,899.15
  5. Step 5: Solve for x
    x = 27,262,155,899.15/212,032.92
  6. Step 6: Final answer
    x = 128,575.11

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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.