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Finding the Fourth Proportional to 171,064.20, 256,304.70 and 145,986.60

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Solution

The fourth proportional to 171,064.20, 256,304.70 and 145,986.60 is: 218,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,064.20 : 256,304.70 = 145,986.60 : x
  2. Step 2: Convert to fraction form
    171,064.20/256,304.70 = 145,986.60/x
  3. Step 3: Cross multiply
    171,064.20x = 256,304.70 × 145,986.60
  4. Step 4: Simplify right side
    171,064.20x = 37,417,051,717.02
  5. Step 5: Solve for x
    x = 37,417,051,717.02/171,064.20
  6. Step 6: Final answer
    x = 218,731.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.