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Finding the Fourth Proportional to 130,498.44, 180,100.47 and 73,147.50

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Solution

The fourth proportional to 130,498.44, 180,100.47 and 73,147.50 is: 100,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,498.44 : 180,100.47 = 73,147.50 : x
  2. Step 2: Convert to fraction form
    130,498.44/180,100.47 = 73,147.50/x
  3. Step 3: Cross multiply
    130,498.44x = 180,100.47 × 73,147.50
  4. Step 4: Simplify right side
    130,498.44x = 13,173,899,129.33
  5. Step 5: Solve for x
    x = 13,173,899,129.33/130,498.44
  6. Step 6: Final answer
    x = 100,950.63

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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.