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Finding the Fourth Proportional to 106,329.10, 159,493.65 and 71,308.30

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Solution

The fourth proportional to 106,329.10, 159,493.65 and 71,308.30 is: 106,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,329.10 : 159,493.65 = 71,308.30 : x
  2. Step 2: Convert to fraction form
    106,329.10/159,493.65 = 71,308.30/x
  3. Step 3: Cross multiply
    106,329.10x = 159,493.65 × 71,308.30
  4. Step 4: Simplify right side
    106,329.10x = 11,373,221,042.30
  5. Step 5: Solve for x
    x = 11,373,221,042.30/106,329.10
  6. Step 6: Final answer
    x = 106,962.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.