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Finding the Fourth Proportional to 105,309.76, 157,972.80 and 35,189.32

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Solution

The fourth proportional to 105,309.76, 157,972.80 and 35,189.32 is: 52,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,309.76 : 157,972.80 = 35,189.32 : x
  2. Step 2: Convert to fraction form
    105,309.76/157,972.80 = 35,189.32/x
  3. Step 3: Cross multiply
    105,309.76x = 157,972.80 × 35,189.32
  4. Step 4: Simplify right side
    105,309.76x = 5,558,955,410.50
  5. Step 5: Solve for x
    x = 5,558,955,410.50/105,309.76
  6. Step 6: Final answer
    x = 52,786.71

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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.