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Finding the Fourth Proportional to 105,335.56, 157,971.20 and 55,388.56

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Solution

The fourth proportional to 105,335.56, 157,971.20 and 55,388.56 is: 83,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,335.56 : 157,971.20 = 55,388.56 : x
  2. Step 2: Convert to fraction form
    105,335.56/157,971.20 = 55,388.56/x
  3. Step 3: Cross multiply
    105,335.56x = 157,971.20 × 55,388.56
  4. Step 4: Simplify right side
    105,335.56x = 8,749,797,289.47
  5. Step 5: Solve for x
    x = 8,749,797,289.47/105,335.56
  6. Step 6: Final answer
    x = 83,065.94

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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.