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Finding the Fourth Proportional to 219,985.50, 303,580.26 and 119,383.50

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Solution

The fourth proportional to 219,985.50, 303,580.26 and 119,383.50 is: 164,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,985.50 : 303,580.26 = 119,383.50 : x
  2. Step 2: Convert to fraction form
    219,985.50/303,580.26 = 119,383.50/x
  3. Step 3: Cross multiply
    219,985.50x = 303,580.26 × 119,383.50
  4. Step 4: Simplify right side
    219,985.50x = 36,242,473,969.71
  5. Step 5: Solve for x
    x = 36,242,473,969.71/219,985.50
  6. Step 6: Final answer
    x = 164,749.38

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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.