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Finding the Fourth Proportional to 171,288, 256,956.50 and 52,968.47

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Solution

The fourth proportional to 171,288, 256,956.50 and 52,968.47 is: 79,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,288 : 256,956.50 = 52,968.47 : x
  2. Step 2: Convert to fraction form
    171,288/256,956.50 = 52,968.47/x
  3. Step 3: Cross multiply
    171,288x = 256,956.50 × 52,968.47
  4. Step 4: Simplify right side
    171,288x = 13,610,591,509.19
  5. Step 5: Solve for x
    x = 13,610,591,509.19/171,288
  6. Step 6: Final answer
    x = 79,460.27

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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.