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Finding the Fourth Proportional to 130,978.22, 180,749.21 and 73,619.01

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Solution

The fourth proportional to 130,978.22, 180,749.21 and 73,619.01 is: 101,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,978.22 : 180,749.21 = 73,619.01 : x
  2. Step 2: Convert to fraction form
    130,978.22/180,749.21 = 73,619.01/x
  3. Step 3: Cross multiply
    130,978.22x = 180,749.21 × 73,619.01
  4. Step 4: Simplify right side
    130,978.22x = 13,306,577,530.39
  5. Step 5: Solve for x
    x = 13,306,577,530.39/130,978.22
  6. Step 6: Final answer
    x = 101,593.82

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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.