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Finding the Fourth Proportional to 76,466.25, 114,699.38 and 21,062.25

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Solution

The fourth proportional to 76,466.25, 114,699.38 and 21,062.25 is: 31,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466.25 : 114,699.38 = 21,062.25 : x
  2. Step 2: Convert to fraction form
    76,466.25/114,699.38 = 21,062.25/x
  3. Step 3: Cross multiply
    76,466.25x = 114,699.38 × 21,062.25
  4. Step 4: Simplify right side
    76,466.25x = 2,415,826,911.09
  5. Step 5: Solve for x
    x = 2,415,826,911.09/76,466.25
  6. Step 6: Final answer
    x = 31,593.38

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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.