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Finding the Fourth Proportional to 177,290.76, 265,858.32 and 66,405

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Solution

The fourth proportional to 177,290.76, 265,858.32 and 66,405 is: 99,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,290.76 : 265,858.32 = 66,405 : x
  2. Step 2: Convert to fraction form
    177,290.76/265,858.32 = 66,405/x
  3. Step 3: Cross multiply
    177,290.76x = 265,858.32 × 66,405
  4. Step 4: Simplify right side
    177,290.76x = 17,654,321,739.60
  5. Step 5: Solve for x
    x = 17,654,321,739.60/177,290.76
  6. Step 6: Final answer
    x = 99,578.35

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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.