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Finding the Fourth Proportional to 108,221.40, 162,332.10 and 81,977.40

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Solution

The fourth proportional to 108,221.40, 162,332.10 and 81,977.40 is: 122,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,221.40 : 162,332.10 = 81,977.40 : x
  2. Step 2: Convert to fraction form
    108,221.40/162,332.10 = 81,977.40/x
  3. Step 3: Cross multiply
    108,221.40x = 162,332.10 × 81,977.40
  4. Step 4: Simplify right side
    108,221.40x = 13,307,563,494.54
  5. Step 5: Solve for x
    x = 13,307,563,494.54/108,221.40
  6. Step 6: Final answer
    x = 122,966.10

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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.