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Finding the Fourth Proportional to 171,171.34, 256,756.80 and 65,916.49

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Solution

The fourth proportional to 171,171.34, 256,756.80 and 65,916.49 is: 98,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,171.34 : 256,756.80 = 65,916.49 : x
  2. Step 2: Convert to fraction form
    171,171.34/256,756.80 = 65,916.49/x
  3. Step 3: Cross multiply
    171,171.34x = 256,756.80 × 65,916.49
  4. Step 4: Simplify right side
    171,171.34x = 16,924,507,039.63
  5. Step 5: Solve for x
    x = 16,924,507,039.63/171,171.34
  6. Step 6: Final answer
    x = 98,874.65

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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.