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Finding the Fourth Proportional to 106,153.87, 146,431.50 and 66,340.75

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Solution

The fourth proportional to 106,153.87, 146,431.50 and 66,340.75 is: 91,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,153.87 : 146,431.50 = 66,340.75 : x
  2. Step 2: Convert to fraction form
    106,153.87/146,431.50 = 66,340.75/x
  3. Step 3: Cross multiply
    106,153.87x = 146,431.50 × 66,340.75
  4. Step 4: Simplify right side
    106,153.87x = 9,714,375,533.63
  5. Step 5: Solve for x
    x = 9,714,375,533.63/106,153.87
  6. Step 6: Final answer
    x = 91,512.21

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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.