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Finding the Fourth Proportional to 128,096, 176,772.48 and 71,507.54

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Solution

The fourth proportional to 128,096, 176,772.48 and 71,507.54 is: 98,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,096 : 176,772.48 = 71,507.54 : x
  2. Step 2: Convert to fraction form
    128,096/176,772.48 = 71,507.54/x
  3. Step 3: Cross multiply
    128,096x = 176,772.48 × 71,507.54
  4. Step 4: Simplify right side
    128,096x = 12,640,565,184.50
  5. Step 5: Solve for x
    x = 12,640,565,184.50/128,096
  6. Step 6: Final answer
    x = 98,680.41

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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.