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Finding the Fourth Proportional to 171,100.40, 256,477.80 and 77,673.20

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Solution

The fourth proportional to 171,100.40, 256,477.80 and 77,673.20 is: 116,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,100.40 : 256,477.80 = 77,673.20 : x
  2. Step 2: Convert to fraction form
    171,100.40/256,477.80 = 77,673.20/x
  3. Step 3: Cross multiply
    171,100.40x = 256,477.80 × 77,673.20
  4. Step 4: Simplify right side
    171,100.40x = 19,921,451,454.96
  5. Step 5: Solve for x
    x = 19,921,451,454.96/171,100.40
  6. Step 6: Final answer
    x = 116,431.36

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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.