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Finding the Fourth Proportional to 178,783.02, 268,171 and 72,164.14

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Solution

The fourth proportional to 178,783.02, 268,171 and 72,164.14 is: 108,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,783.02 : 268,171 = 72,164.14 : x
  2. Step 2: Convert to fraction form
    178,783.02/268,171 = 72,164.14/x
  3. Step 3: Cross multiply
    178,783.02x = 268,171 × 72,164.14
  4. Step 4: Simplify right side
    178,783.02x = 19,352,329,587.94
  5. Step 5: Solve for x
    x = 19,352,329,587.94/178,783.02
  6. Step 6: Final answer
    x = 108,244.79

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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.