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Finding the Fourth Proportional to 98,415.22, 135,831.56 and 61,638.50

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Solution

The fourth proportional to 98,415.22, 135,831.56 and 61,638.50 is: 85,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415.22 : 135,831.56 = 61,638.50 : x
  2. Step 2: Convert to fraction form
    98,415.22/135,831.56 = 61,638.50/x
  3. Step 3: Cross multiply
    98,415.22x = 135,831.56 × 61,638.50
  4. Step 4: Simplify right side
    98,415.22x = 8,372,453,611.06
  5. Step 5: Solve for x
    x = 8,372,453,611.06/98,415.22
  6. Step 6: Final answer
    x = 85,072.75

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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.