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Finding the Fourth Proportional to 108,308.40, 162,438.30 and 71,129.40

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Solution

The fourth proportional to 108,308.40, 162,438.30 and 71,129.40 is: 106,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,308.40 : 162,438.30 = 71,129.40 : x
  2. Step 2: Convert to fraction form
    108,308.40/162,438.30 = 71,129.40/x
  3. Step 3: Cross multiply
    108,308.40x = 162,438.30 × 71,129.40
  4. Step 4: Simplify right side
    108,308.40x = 11,554,138,816.02
  5. Step 5: Solve for x
    x = 11,554,138,816.02/108,308.40
  6. Step 6: Final answer
    x = 106,678.14

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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.