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Finding the Fourth Proportional to 128,769.33, 177,696.74 and 71,411.01

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Solution

The fourth proportional to 128,769.33, 177,696.74 and 71,411.01 is: 98,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,769.33 : 177,696.74 = 71,411.01 : x
  2. Step 2: Convert to fraction form
    128,769.33/177,696.74 = 71,411.01/x
  3. Step 3: Cross multiply
    128,769.33x = 177,696.74 × 71,411.01
  4. Step 4: Simplify right side
    128,769.33x = 12,689,503,320.05
  5. Step 5: Solve for x
    x = 12,689,503,320.05/128,769.33
  6. Step 6: Final answer
    x = 98,544.45

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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.