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Finding the Fourth Proportional to 171,453.60, 257,072.40 and 71,683.20

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Solution

The fourth proportional to 171,453.60, 257,072.40 and 71,683.20 is: 107,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,453.60 : 257,072.40 = 71,683.20 : x
  2. Step 2: Convert to fraction form
    171,453.60/257,072.40 = 71,683.20/x
  3. Step 3: Cross multiply
    171,453.60x = 257,072.40 × 71,683.20
  4. Step 4: Simplify right side
    171,453.60x = 18,427,772,263.68
  5. Step 5: Solve for x
    x = 18,427,772,263.68/171,453.60
  6. Step 6: Final answer
    x = 107,479.65

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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.