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Finding the Fourth Proportional to 120,653.28, 166,599.36 and 75,384

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Solution

The fourth proportional to 120,653.28, 166,599.36 and 75,384 is: 104,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,653.28 : 166,599.36 = 75,384 : x
  2. Step 2: Convert to fraction form
    120,653.28/166,599.36 = 75,384/x
  3. Step 3: Cross multiply
    120,653.28x = 166,599.36 × 75,384
  4. Step 4: Simplify right side
    120,653.28x = 12,558,926,154.24
  5. Step 5: Solve for x
    x = 12,558,926,154.24/120,653.28
  6. Step 6: Final answer
    x = 104,091.05

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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.