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Finding the Fourth Proportional to 213,625.50, 320,442.57 and 65,881.50

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Solution

The fourth proportional to 213,625.50, 320,442.57 and 65,881.50 is: 98,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,625.50 : 320,442.57 = 65,881.50 : x
  2. Step 2: Convert to fraction form
    213,625.50/320,442.57 = 65,881.50/x
  3. Step 3: Cross multiply
    213,625.50x = 320,442.57 × 65,881.50
  4. Step 4: Simplify right side
    213,625.50x = 21,111,237,175.46
  5. Step 5: Solve for x
    x = 21,111,237,175.46/213,625.50
  6. Step 6: Final answer
    x = 98,823.58

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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.