Home / 77,828.04-116,789.31-31,077

Finding the Fourth Proportional to 77,828.04, 116,789.31 and 31,077

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Solution

The fourth proportional to 77,828.04, 116,789.31 and 31,077 is: 46,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,828.04 : 116,789.31 = 31,077 : x
  2. Step 2: Convert to fraction form
    77,828.04/116,789.31 = 31,077/x
  3. Step 3: Cross multiply
    77,828.04x = 116,789.31 × 31,077
  4. Step 4: Simplify right side
    77,828.04x = 3,629,461,386.87
  5. Step 5: Solve for x
    x = 3,629,461,386.87/77,828.04
  6. Step 6: Final answer
    x = 46,634.37

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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.