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Finding the Fourth Proportional to 219,802.50, 303,327.63 and 119,200.50

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Solution

The fourth proportional to 219,802.50, 303,327.63 and 119,200.50 is: 164,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,802.50 : 303,327.63 = 119,200.50 : x
  2. Step 2: Convert to fraction form
    219,802.50/303,327.63 = 119,200.50/x
  3. Step 3: Cross multiply
    219,802.50x = 303,327.63 × 119,200.50
  4. Step 4: Simplify right side
    219,802.50x = 36,156,805,159.82
  5. Step 5: Solve for x
    x = 36,156,805,159.82/219,802.50
  6. Step 6: Final answer
    x = 164,496.79

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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.