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Finding the Fourth Proportional to 146,380.78, 201,984.10 and 85,970.88

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Solution

The fourth proportional to 146,380.78, 201,984.10 and 85,970.88 is: 118,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,380.78 : 201,984.10 = 85,970.88 : x
  2. Step 2: Convert to fraction form
    146,380.78/201,984.10 = 85,970.88/x
  3. Step 3: Cross multiply
    146,380.78x = 201,984.10 × 85,970.88
  4. Step 4: Simplify right side
    146,380.78x = 17,364,751,848.56
  5. Step 5: Solve for x
    x = 17,364,751,848.56/146,380.78
  6. Step 6: Final answer
    x = 118,627.27

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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.