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Finding the Fourth Proportional to 77,368.73, 116,057.79 and 21,206.57

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Solution

The fourth proportional to 77,368.73, 116,057.79 and 21,206.57 is: 31,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,368.73 : 116,057.79 = 21,206.57 : x
  2. Step 2: Convert to fraction form
    77,368.73/116,057.79 = 21,206.57/x
  3. Step 3: Cross multiply
    77,368.73x = 116,057.79 × 21,206.57
  4. Step 4: Simplify right side
    77,368.73x = 2,461,187,067.39
  5. Step 5: Solve for x
    x = 2,461,187,067.39/77,368.73
  6. Step 6: Final answer
    x = 31,811.14

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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.