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Finding the Fourth Proportional to 106,485, 146,959.20 and 61,169.28

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Solution

The fourth proportional to 106,485, 146,959.20 and 61,169.28 is: 84,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,485 : 146,959.20 = 61,169.28 : x
  2. Step 2: Convert to fraction form
    106,485/146,959.20 = 61,169.28/x
  3. Step 3: Cross multiply
    106,485x = 146,959.20 × 61,169.28
  4. Step 4: Simplify right side
    106,485x = 8,989,388,453.38
  5. Step 5: Solve for x
    x = 8,989,388,453.38/106,485
  6. Step 6: Final answer
    x = 84,419.29

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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.