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Finding the Fourth Proportional to 42,486.75, 63,702 and 23,768.75

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Solution

The fourth proportional to 42,486.75, 63,702 and 23,768.75 is: 35,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,486.75 : 63,702 = 23,768.75 : x
  2. Step 2: Convert to fraction form
    42,486.75/63,702 = 23,768.75/x
  3. Step 3: Cross multiply
    42,486.75x = 63,702 × 23,768.75
  4. Step 4: Simplify right side
    42,486.75x = 1,514,116,593.99
  5. Step 5: Solve for x
    x = 1,514,116,593.99/42,486.75
  6. Step 6: Final answer
    x = 35,637.38

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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.