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Finding the Fourth Proportional to 55,580.54, 76,693.98 and 31,705.79

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Solution

The fourth proportional to 55,580.54, 76,693.98 and 31,705.79 is: 43,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,580.54 : 76,693.98 = 31,705.79 : x
  2. Step 2: Convert to fraction form
    55,580.54/76,693.98 = 31,705.79/x
  3. Step 3: Cross multiply
    55,580.54x = 76,693.98 × 31,705.79
  4. Step 4: Simplify right side
    55,580.54x = 2,431,642,840.67
  5. Step 5: Solve for x
    x = 2,431,642,840.67/55,580.54
  6. Step 6: Final answer
    x = 43,749.90

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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.