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Finding the Fourth Proportional to 201,043.17, 277,401 and 128,484

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Solution

The fourth proportional to 201,043.17, 277,401 and 128,484 is: 177,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,043.17 : 277,401 = 128,484 : x
  2. Step 2: Convert to fraction form
    201,043.17/277,401 = 128,484/x
  3. Step 3: Cross multiply
    201,043.17x = 277,401 × 128,484
  4. Step 4: Simplify right side
    201,043.17x = 35,641,590,084
  5. Step 5: Solve for x
    x = 35,641,590,084/201,043.17
  6. Step 6: Final answer
    x = 177,283.27

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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.