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Finding the Fourth Proportional to 120,158.64, 165,807.81 and 69,157.80

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Solution

The fourth proportional to 120,158.64, 165,807.81 and 69,157.80 is: 95,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,158.64 : 165,807.81 = 69,157.80 : x
  2. Step 2: Convert to fraction form
    120,158.64/165,807.81 = 69,157.80/x
  3. Step 3: Cross multiply
    120,158.64x = 165,807.81 × 69,157.80
  4. Step 4: Simplify right side
    120,158.64x = 11,466,903,362.42
  5. Step 5: Solve for x
    x = 11,466,903,362.42/120,158.64
  6. Step 6: Final answer
    x = 95,431.37

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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.