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Finding the Fourth Proportional to 77,356.42, 116,034.73 and 21,197.03

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Solution

The fourth proportional to 77,356.42, 116,034.73 and 21,197.03 is: 31,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356.42 : 116,034.73 = 21,197.03 : x
  2. Step 2: Convert to fraction form
    77,356.42/116,034.73 = 21,197.03/x
  3. Step 3: Cross multiply
    77,356.42x = 116,034.73 × 21,197.03
  4. Step 4: Simplify right side
    77,356.42x = 2,459,591,019.69
  5. Step 5: Solve for x
    x = 2,459,591,019.69/77,356.42
  6. Step 6: Final answer
    x = 31,795.57

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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.