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Finding the Fourth Proportional to 120,508.10, 166,354.16 and 84,351.55

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Solution

The fourth proportional to 120,508.10, 166,354.16 and 84,351.55 is: 116,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,508.10 : 166,354.16 = 84,351.55 : x
  2. Step 2: Convert to fraction form
    120,508.10/166,354.16 = 84,351.55/x
  3. Step 3: Cross multiply
    120,508.10x = 166,354.16 × 84,351.55
  4. Step 4: Simplify right side
    120,508.10x = 14,032,231,192.04
  5. Step 5: Solve for x
    x = 14,032,231,192.04/120,508.10
  6. Step 6: Final answer
    x = 116,442.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.