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Finding the Fourth Proportional to 108,605.74, 162,935.75 and 76,647.21

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Solution

The fourth proportional to 108,605.74, 162,935.75 and 76,647.21 is: 114,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,605.74 : 162,935.75 = 76,647.21 : x
  2. Step 2: Convert to fraction form
    108,605.74/162,935.75 = 76,647.21/x
  3. Step 3: Cross multiply
    108,605.74x = 162,935.75 × 76,647.21
  4. Step 4: Simplify right side
    108,605.74x = 12,488,570,646.76
  5. Step 5: Solve for x
    x = 12,488,570,646.76/108,605.74
  6. Step 6: Final answer
    x = 114,989.97

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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.