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Finding the Fourth Proportional to 102,396.92, 141,268.72 and 75,603.72

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Solution

The fourth proportional to 102,396.92, 141,268.72 and 75,603.72 is: 104,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,396.92 : 141,268.72 = 75,603.72 : x
  2. Step 2: Convert to fraction form
    102,396.92/141,268.72 = 75,603.72/x
  3. Step 3: Cross multiply
    102,396.92x = 141,268.72 × 75,603.72
  4. Step 4: Simplify right side
    102,396.92x = 10,680,440,751.64
  5. Step 5: Solve for x
    x = 10,680,440,751.64/102,396.92
  6. Step 6: Final answer
    x = 104,304.32

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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.