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Finding the Fourth Proportional to 97,968.78, 135,007.36 and 66,082.32

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Solution

The fourth proportional to 97,968.78, 135,007.36 and 66,082.32 is: 91,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,968.78 : 135,007.36 = 66,082.32 : x
  2. Step 2: Convert to fraction form
    97,968.78/135,007.36 = 66,082.32/x
  3. Step 3: Cross multiply
    97,968.78x = 135,007.36 × 66,082.32
  4. Step 4: Simplify right side
    97,968.78x = 8,921,599,400.67
  5. Step 5: Solve for x
    x = 8,921,599,400.67/97,968.78
  6. Step 6: Final answer
    x = 91,065.74

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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.