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Finding the Fourth Proportional to 219,983.50, 303,577.50 and 119,381.50

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Solution

The fourth proportional to 219,983.50, 303,577.50 and 119,381.50 is: 164,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,983.50 : 303,577.50 = 119,381.50 : x
  2. Step 2: Convert to fraction form
    219,983.50/303,577.50 = 119,381.50/x
  3. Step 3: Cross multiply
    219,983.50x = 303,577.50 × 119,381.50
  4. Step 4: Simplify right side
    219,983.50x = 36,241,537,316.25
  5. Step 5: Solve for x
    x = 36,241,537,316.25/219,983.50
  6. Step 6: Final answer
    x = 164,746.62

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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.