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Finding the Fourth Proportional to 190,616.64, 285,966.54 and 72,289.14

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Solution

The fourth proportional to 190,616.64, 285,966.54 and 72,289.14 is: 108,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,616.64 : 285,966.54 = 72,289.14 : x
  2. Step 2: Convert to fraction form
    190,616.64/285,966.54 = 72,289.14/x
  3. Step 3: Cross multiply
    190,616.64x = 285,966.54 × 72,289.14
  4. Step 4: Simplify right side
    190,616.64x = 20,672,275,245.38
  5. Step 5: Solve for x
    x = 20,672,275,245.38/190,616.64
  6. Step 6: Final answer
    x = 108,449.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.