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Finding the Fourth Proportional to 128,500, 177,326.16 and 71,141.68

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Solution

The fourth proportional to 128,500, 177,326.16 and 71,141.68 is: 98,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,500 : 177,326.16 = 71,141.68 : x
  2. Step 2: Convert to fraction form
    128,500/177,326.16 = 71,141.68/x
  3. Step 3: Cross multiply
    128,500x = 177,326.16 × 71,141.68
  4. Step 4: Simplify right side
    128,500x = 12,615,280,930.35
  5. Step 5: Solve for x
    x = 12,615,280,930.35/128,500
  6. Step 6: Final answer
    x = 98,173.39

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1.5x scale

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.