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Finding the Fourth Proportional to 55,986, 77,262.87 and 31,789.23

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Solution

The fourth proportional to 55,986, 77,262.87 and 31,789.23 is: 43,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,986 : 77,262.87 = 31,789.23 : x
  2. Step 2: Convert to fraction form
    55,986/77,262.87 = 31,789.23/x
  3. Step 3: Cross multiply
    55,986x = 77,262.87 × 31,789.23
  4. Step 4: Simplify right side
    55,986x = 2,456,127,144.89
  5. Step 5: Solve for x
    x = 2,456,127,144.89/55,986
  6. Step 6: Final answer
    x = 43,870.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.