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Finding the Fourth Proportional to 102,297.68, 141,160.68 and 75,454.64

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Solution

The fourth proportional to 102,297.68, 141,160.68 and 75,454.64 is: 104,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,297.68 : 141,160.68 = 75,454.64 : x
  2. Step 2: Convert to fraction form
    102,297.68/141,160.68 = 75,454.64/x
  3. Step 3: Cross multiply
    102,297.68x = 141,160.68 × 75,454.64
  4. Step 4: Simplify right side
    102,297.68x = 10,651,228,291.56
  5. Step 5: Solve for x
    x = 10,651,228,291.56/102,297.68
  6. Step 6: Final answer
    x = 104,119.94

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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.