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Finding the Fourth Proportional to 100,176, 138,228.48 and 85,128.96

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Solution

The fourth proportional to 100,176, 138,228.48 and 85,128.96 is: 117,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176 : 138,228.48 = 85,128.96 : x
  2. Step 2: Convert to fraction form
    100,176/138,228.48 = 85,128.96/x
  3. Step 3: Cross multiply
    100,176x = 138,228.48 × 85,128.96
  4. Step 4: Simplify right side
    100,176x = 11,767,246,744.78
  5. Step 5: Solve for x
    x = 11,767,246,744.78/100,176
  6. Step 6: Final answer
    x = 117,465.73

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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.