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Finding the Fourth Proportional to 120,349.54, 166,158 and 77,348.26

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Solution

The fourth proportional to 120,349.54, 166,158 and 77,348.26 is: 106,789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,349.54 : 166,158 = 77,348.26 : x
  2. Step 2: Convert to fraction form
    120,349.54/166,158 = 77,348.26/x
  3. Step 3: Cross multiply
    120,349.54x = 166,158 × 77,348.26
  4. Step 4: Simplify right side
    120,349.54x = 12,852,032,185.08
  5. Step 5: Solve for x
    x = 12,852,032,185.08/120,349.54
  6. Step 6: Final answer
    x = 106,789.21

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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.