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Finding the Fourth Proportional to 130,978.68, 180,754.92 and 73,627.98

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Solution

The fourth proportional to 130,978.68, 180,754.92 and 73,627.98 is: 101,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,978.68 : 180,754.92 = 73,627.98 : x
  2. Step 2: Convert to fraction form
    130,978.68/180,754.92 = 73,627.98/x
  3. Step 3: Cross multiply
    130,978.68x = 180,754.92 × 73,627.98
  4. Step 4: Simplify right side
    130,978.68x = 13,308,619,634.66
  5. Step 5: Solve for x
    x = 13,308,619,634.66/130,978.68
  6. Step 6: Final answer
    x = 101,609.05

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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.