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Finding the Fourth Proportional to 178,449.78, 268,007.49 and 157,110.06

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Solution

The fourth proportional to 178,449.78, 268,007.49 and 157,110.06 is: 235,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,449.78 : 268,007.49 = 157,110.06 : x
  2. Step 2: Convert to fraction form
    178,449.78/268,007.49 = 157,110.06/x
  3. Step 3: Cross multiply
    178,449.78x = 268,007.49 × 157,110.06
  4. Step 4: Simplify right side
    178,449.78x = 42,106,672,834.35
  5. Step 5: Solve for x
    x = 42,106,672,834.35/178,449.78
  6. Step 6: Final answer
    x = 235,958.11

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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.