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Finding the Fourth Proportional to 98,409, 135,803.70 and 55,967.48

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Solution

The fourth proportional to 98,409, 135,803.70 and 55,967.48 is: 77,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,409 : 135,803.70 = 55,967.48 : x
  2. Step 2: Convert to fraction form
    98,409/135,803.70 = 55,967.48/x
  3. Step 3: Cross multiply
    98,409x = 135,803.70 × 55,967.48
  4. Step 4: Simplify right side
    98,409x = 7,600,590,863.68
  5. Step 5: Solve for x
    x = 7,600,590,863.68/98,409
  6. Step 6: Final answer
    x = 77,234.71

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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.