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Finding the Fourth Proportional to 120,157.68, 165,815.88 and 66,441.54

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Solution

The fourth proportional to 120,157.68, 165,815.88 and 66,441.54 is: 91,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157.68 : 165,815.88 = 66,441.54 : x
  2. Step 2: Convert to fraction form
    120,157.68/165,815.88 = 66,441.54/x
  3. Step 3: Cross multiply
    120,157.68x = 165,815.88 × 66,441.54
  4. Step 4: Simplify right side
    120,157.68x = 11,017,062,423.66
  5. Step 5: Solve for x
    x = 11,017,062,423.66/120,157.68
  6. Step 6: Final answer
    x = 91,688.38

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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.