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Finding the Fourth Proportional to 119,297.30, 178,814.72 and 49,138.34

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Solution

The fourth proportional to 119,297.30, 178,814.72 and 49,138.34 is: 73,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,297.30 : 178,814.72 = 49,138.34 : x
  2. Step 2: Convert to fraction form
    119,297.30/178,814.72 = 49,138.34/x
  3. Step 3: Cross multiply
    119,297.30x = 178,814.72 × 49,138.34
  4. Step 4: Simplify right side
    119,297.30x = 8,786,657,368.60
  5. Step 5: Solve for x
    x = 8,786,657,368.60/119,297.30
  6. Step 6: Final answer
    x = 73,653.45

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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.