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Finding the Fourth Proportional to 120,911.76, 166,870.44 and 70,615.44

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Solution

The fourth proportional to 120,911.76, 166,870.44 and 70,615.44 is: 97,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,911.76 : 166,870.44 = 70,615.44 : x
  2. Step 2: Convert to fraction form
    120,911.76/166,870.44 = 70,615.44/x
  3. Step 3: Cross multiply
    120,911.76x = 166,870.44 × 70,615.44
  4. Step 4: Simplify right side
    120,911.76x = 11,783,629,543.59
  5. Step 5: Solve for x
    x = 11,783,629,543.59/120,911.76
  6. Step 6: Final answer
    x = 97,456.44

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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.