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Finding the Fourth Proportional to 130,567, 180,189.75 and 73,996.60

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Solution

The fourth proportional to 130,567, 180,189.75 and 73,996.60 is: 102,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,567 : 180,189.75 = 73,996.60 : x
  2. Step 2: Convert to fraction form
    130,567/180,189.75 = 73,996.60/x
  3. Step 3: Cross multiply
    130,567x = 180,189.75 × 73,996.60
  4. Step 4: Simplify right side
    130,567x = 13,333,428,854.85
  5. Step 5: Solve for x
    x = 13,333,428,854.85/130,567
  6. Step 6: Final answer
    x = 102,119.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.