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Finding the Fourth Proportional to 120,405.70, 166,271.56 and 90,138.47

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Solution

The fourth proportional to 120,405.70, 166,271.56 and 90,138.47 is: 124,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,405.70 : 166,271.56 = 90,138.47 : x
  2. Step 2: Convert to fraction form
    120,405.70/166,271.56 = 90,138.47/x
  3. Step 3: Cross multiply
    120,405.70x = 166,271.56 × 90,138.47
  4. Step 4: Simplify right side
    120,405.70x = 14,987,464,155.00
  5. Step 5: Solve for x
    x = 14,987,464,155.00/120,405.70
  6. Step 6: Final answer
    x = 124,474.70

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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.