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Finding the Fourth Proportional to 57,195.60, 78,927.86 and 31,703.09

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Solution

The fourth proportional to 57,195.60, 78,927.86 and 31,703.09 is: 43,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,195.60 : 78,927.86 = 31,703.09 : x
  2. Step 2: Convert to fraction form
    57,195.60/78,927.86 = 31,703.09/x
  3. Step 3: Cross multiply
    57,195.60x = 78,927.86 × 31,703.09
  4. Step 4: Simplify right side
    57,195.60x = 2,502,256,495.93
  5. Step 5: Solve for x
    x = 2,502,256,495.93/57,195.60
  6. Step 6: Final answer
    x = 43,749.11

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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.