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Finding the Fourth Proportional to 56,709.81, 78,260.04 and 31,559.31

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Solution

The fourth proportional to 56,709.81, 78,260.04 and 31,559.31 is: 43,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,709.81 : 78,260.04 = 31,559.31 : x
  2. Step 2: Convert to fraction form
    56,709.81/78,260.04 = 31,559.31/x
  3. Step 3: Cross multiply
    56,709.81x = 78,260.04 × 31,559.31
  4. Step 4: Simplify right side
    56,709.81x = 2,469,832,862.97
  5. Step 5: Solve for x
    x = 2,469,832,862.97/56,709.81
  6. Step 6: Final answer
    x = 43,552.13

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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.