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Finding the Fourth Proportional to 97,768.79, 134,851.21 and 89,728.35

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Solution

The fourth proportional to 97,768.79, 134,851.21 and 89,728.35 is: 123,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,768.79 : 134,851.21 = 89,728.35 : x
  2. Step 2: Convert to fraction form
    97,768.79/134,851.21 = 89,728.35/x
  3. Step 3: Cross multiply
    97,768.79x = 134,851.21 × 89,728.35
  4. Step 4: Simplify right side
    97,768.79x = 12,099,976,568.80
  5. Step 5: Solve for x
    x = 12,099,976,568.80/97,768.79
  6. Step 6: Final answer
    x = 123,761.14

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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.