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Finding the Fourth Proportional to 128,300, 177,057.20 and 71,720.80

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Solution

The fourth proportional to 128,300, 177,057.20 and 71,720.80 is: 98,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,300 : 177,057.20 = 71,720.80 : x
  2. Step 2: Convert to fraction form
    128,300/177,057.20 = 71,720.80/x
  3. Step 3: Cross multiply
    128,300x = 177,057.20 × 71,720.80
  4. Step 4: Simplify right side
    128,300x = 12,698,684,029.76
  5. Step 5: Solve for x
    x = 12,698,684,029.76/128,300
  6. Step 6: Final answer
    x = 98,976.49

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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.