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Finding the Fourth Proportional to 177,431.80, 265,710.30 and 117,945.40

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Solution

The fourth proportional to 177,431.80, 265,710.30 and 117,945.40 is: 176,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,431.80 : 265,710.30 = 117,945.40 : x
  2. Step 2: Convert to fraction form
    177,431.80/265,710.30 = 117,945.40/x
  3. Step 3: Cross multiply
    177,431.80x = 265,710.30 × 117,945.40
  4. Step 4: Simplify right side
    177,431.80x = 31,339,307,617.62
  5. Step 5: Solve for x
    x = 31,339,307,617.62/177,431.80
  6. Step 6: Final answer
    x = 176,627.34

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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.