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Finding the Fourth Proportional to 106,458.30, 159,687.45 and 71,207.10

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Solution

The fourth proportional to 106,458.30, 159,687.45 and 71,207.10 is: 106,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,458.30 : 159,687.45 = 71,207.10 : x
  2. Step 2: Convert to fraction form
    106,458.30/159,687.45 = 71,207.10/x
  3. Step 3: Cross multiply
    106,458.30x = 159,687.45 × 71,207.10
  4. Step 4: Simplify right side
    106,458.30x = 11,370,880,220.90
  5. Step 5: Solve for x
    x = 11,370,880,220.90/106,458.30
  6. Step 6: Final answer
    x = 106,810.65

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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.