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Finding the Fourth Proportional to 120,932.64, 166,899.42 and 69,948

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Solution

The fourth proportional to 120,932.64, 166,899.42 and 69,948 is: 96,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,932.64 : 166,899.42 = 69,948 : x
  2. Step 2: Convert to fraction form
    120,932.64/166,899.42 = 69,948/x
  3. Step 3: Cross multiply
    120,932.64x = 166,899.42 × 69,948
  4. Step 4: Simplify right side
    120,932.64x = 11,674,280,630.16
  5. Step 5: Solve for x
    x = 11,674,280,630.16/120,932.64
  6. Step 6: Final answer
    x = 96,535.40

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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.