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Finding the Fourth Proportional to 128,297.17, 177,055.50 and 71,708.50

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Solution

The fourth proportional to 128,297.17, 177,055.50 and 71,708.50 is: 98,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,297.17 : 177,055.50 = 71,708.50 : x
  2. Step 2: Convert to fraction form
    128,297.17/177,055.50 = 71,708.50/x
  3. Step 3: Cross multiply
    128,297.17x = 177,055.50 × 71,708.50
  4. Step 4: Simplify right side
    128,297.17x = 12,696,384,321.75
  5. Step 5: Solve for x
    x = 12,696,384,321.75/128,297.17
  6. Step 6: Final answer
    x = 98,960.75

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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.