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Finding the Fourth Proportional to 108,538.40, 162,980.40 and 73,632.80

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Solution

The fourth proportional to 108,538.40, 162,980.40 and 73,632.80 is: 110,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,538.40 : 162,980.40 = 73,632.80 : x
  2. Step 2: Convert to fraction form
    108,538.40/162,980.40 = 73,632.80/x
  3. Step 3: Cross multiply
    108,538.40x = 162,980.40 × 73,632.80
  4. Step 4: Simplify right side
    108,538.40x = 12,000,703,197.12
  5. Step 5: Solve for x
    x = 12,000,703,197.12/108,538.40
  6. Step 6: Final answer
    x = 110,566.43

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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.