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Finding the Fourth Proportional to 108,038.20, 161,765.70 and 84,710.20

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Solution

The fourth proportional to 108,038.20, 161,765.70 and 84,710.20 is: 126,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,038.20 : 161,765.70 = 84,710.20 : x
  2. Step 2: Convert to fraction form
    108,038.20/161,765.70 = 84,710.20/x
  3. Step 3: Cross multiply
    108,038.20x = 161,765.70 × 84,710.20
  4. Step 4: Simplify right side
    108,038.20x = 13,703,204,800.14
  5. Step 5: Solve for x
    x = 13,703,204,800.14/108,038.20
  6. Step 6: Final answer
    x = 126,836.66

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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.