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Finding the Fourth Proportional to 213,931, 320,913.78 and 66,187

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Solution

The fourth proportional to 213,931, 320,913.78 and 66,187 is: 99,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,931 : 320,913.78 = 66,187 : x
  2. Step 2: Convert to fraction form
    213,931/320,913.78 = 66,187/x
  3. Step 3: Cross multiply
    213,931x = 320,913.78 × 66,187
  4. Step 4: Simplify right side
    213,931x = 21,240,320,356.86
  5. Step 5: Solve for x
    x = 21,240,320,356.86/213,931
  6. Step 6: Final answer
    x = 99,285.85

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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.