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Finding the Fourth Proportional to 219,642.94, 303,104.55 and 119,038.78

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Solution

The fourth proportional to 219,642.94, 303,104.55 and 119,038.78 is: 164,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,642.94 : 303,104.55 = 119,038.78 : x
  2. Step 2: Convert to fraction form
    219,642.94/303,104.55 = 119,038.78/x
  3. Step 3: Cross multiply
    219,642.94x = 303,104.55 × 119,038.78
  4. Step 4: Simplify right side
    219,642.94x = 36,081,195,844.45
  5. Step 5: Solve for x
    x = 36,081,195,844.45/219,642.94
  6. Step 6: Final answer
    x = 164,272.05

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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.