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Finding the Fourth Proportional to 77,074.75, 115,612.17 and 21,670.75

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Solution

The fourth proportional to 77,074.75, 115,612.17 and 21,670.75 is: 32,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074.75 : 115,612.17 = 21,670.75 : x
  2. Step 2: Convert to fraction form
    77,074.75/115,612.17 = 21,670.75/x
  3. Step 3: Cross multiply
    77,074.75x = 115,612.17 × 21,670.75
  4. Step 4: Simplify right side
    77,074.75x = 2,505,402,433.03
  5. Step 5: Solve for x
    x = 2,505,402,433.03/77,074.75
  6. Step 6: Final answer
    x = 32,506.14

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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.