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Finding the Fourth Proportional to 219,311.64, 302,664.06 and 123,783.48

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Solution

The fourth proportional to 219,311.64, 302,664.06 and 123,783.48 is: 170,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,311.64 : 302,664.06 = 123,783.48 : x
  2. Step 2: Convert to fraction form
    219,311.64/302,664.06 = 123,783.48/x
  3. Step 3: Cross multiply
    219,311.64x = 302,664.06 × 123,783.48
  4. Step 4: Simplify right side
    219,311.64x = 37,464,810,617.73
  5. Step 5: Solve for x
    x = 37,464,810,617.73/219,311.64
  6. Step 6: Final answer
    x = 170,829.10

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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.