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Finding the Fourth Proportional to 213,607.78, 320,443.52 and 78,661.47

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Solution

The fourth proportional to 213,607.78, 320,443.52 and 78,661.47 is: 118,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,607.78 : 320,443.52 = 78,661.47 : x
  2. Step 2: Convert to fraction form
    213,607.78/320,443.52 = 78,661.47/x
  3. Step 3: Cross multiply
    213,607.78x = 320,443.52 × 78,661.47
  4. Step 4: Simplify right side
    213,607.78x = 25,206,558,830.43
  5. Step 5: Solve for x
    x = 25,206,558,830.43/213,607.78
  6. Step 6: Final answer
    x = 118,003.94

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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.