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Finding the Fourth Proportional to 120,886.37, 166,813.41 and 69,902.40

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Solution

The fourth proportional to 120,886.37, 166,813.41 and 69,902.40 is: 96,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,886.37 : 166,813.41 = 69,902.40 : x
  2. Step 2: Convert to fraction form
    120,886.37/166,813.41 = 69,902.40/x
  3. Step 3: Cross multiply
    120,886.37x = 166,813.41 × 69,902.40
  4. Step 4: Simplify right side
    120,886.37x = 11,660,657,711.18
  5. Step 5: Solve for x
    x = 11,660,657,711.18/120,886.37
  6. Step 6: Final answer
    x = 96,459.66

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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.