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Finding the Fourth Proportional to 219,108.31, 328,464.08 and 85,952.81

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Solution

The fourth proportional to 219,108.31, 328,464.08 and 85,952.81 is: 128,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,108.31 : 328,464.08 = 85,952.81 : x
  2. Step 2: Convert to fraction form
    219,108.31/328,464.08 = 85,952.81/x
  3. Step 3: Cross multiply
    219,108.31x = 328,464.08 × 85,952.81
  4. Step 4: Simplify right side
    219,108.31x = 28,232,410,874.95
  5. Step 5: Solve for x
    x = 28,232,410,874.95/219,108.31
  6. Step 6: Final answer
    x = 128,851.40

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1.5x scale

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.