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Finding the Fourth Proportional to 128,267, 177,005.16 and 71,678.84

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Solution

The fourth proportional to 128,267, 177,005.16 and 71,678.84 is: 98,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,267 : 177,005.16 = 71,678.84 : x
  2. Step 2: Convert to fraction form
    128,267/177,005.16 = 71,678.84/x
  3. Step 3: Cross multiply
    128,267x = 177,005.16 × 71,678.84
  4. Step 4: Simplify right side
    128,267x = 12,687,524,542.81
  5. Step 5: Solve for x
    x = 12,687,524,542.81/128,267
  6. Step 6: Final answer
    x = 98,914.96

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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.