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Finding the Fourth Proportional to 219,377.46, 302,846.16 and 138,844.02

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Solution

The fourth proportional to 219,377.46, 302,846.16 and 138,844.02 is: 191,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,377.46 : 302,846.16 = 138,844.02 : x
  2. Step 2: Convert to fraction form
    219,377.46/302,846.16 = 138,844.02/x
  3. Step 3: Cross multiply
    219,377.46x = 302,846.16 × 138,844.02
  4. Step 4: Simplify right side
    219,377.46x = 42,048,378,295.96
  5. Step 5: Solve for x
    x = 42,048,378,295.96/219,377.46
  6. Step 6: Final answer
    x = 191,671.37

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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.