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Finding the Fourth Proportional to 213,558.78, 320,341.28 and 55,787.25

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Solution

The fourth proportional to 213,558.78, 320,341.28 and 55,787.25 is: 83,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,558.78 : 320,341.28 = 55,787.25 : x
  2. Step 2: Convert to fraction form
    213,558.78/320,341.28 = 55,787.25/x
  3. Step 3: Cross multiply
    213,558.78x = 320,341.28 × 55,787.25
  4. Step 4: Simplify right side
    213,558.78x = 17,870,958,793.74
  5. Step 5: Solve for x
    x = 17,870,958,793.74/213,558.78
  6. Step 6: Final answer
    x = 83,681.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.