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Finding the Fourth Proportional to 171,346.55, 257,072.36 and 76,656.42

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Solution

The fourth proportional to 171,346.55, 257,072.36 and 76,656.42 is: 115,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,346.55 : 257,072.36 = 76,656.42 : x
  2. Step 2: Convert to fraction form
    171,346.55/257,072.36 = 76,656.42/x
  3. Step 3: Cross multiply
    171,346.55x = 257,072.36 × 76,656.42
  4. Step 4: Simplify right side
    171,346.55x = 19,706,246,415.27
  5. Step 5: Solve for x
    x = 19,706,246,415.27/171,346.55
  6. Step 6: Final answer
    x = 115,008.13

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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.