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Finding the Fourth Proportional to 128,039.84, 176,696.32 and 71,450

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Solution

The fourth proportional to 128,039.84, 176,696.32 and 71,450 is: 98,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,039.84 : 176,696.32 = 71,450 : x
  2. Step 2: Convert to fraction form
    128,039.84/176,696.32 = 71,450/x
  3. Step 3: Cross multiply
    128,039.84x = 176,696.32 × 71,450
  4. Step 4: Simplify right side
    128,039.84x = 12,624,952,064
  5. Step 5: Solve for x
    x = 12,624,952,064/128,039.84
  6. Step 6: Final answer
    x = 98,601.75

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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.