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Finding the Fourth Proportional to 164,505.40, 246,815.70 and 71,078.20

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Solution

The fourth proportional to 164,505.40, 246,815.70 and 71,078.20 is: 106,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,505.40 : 246,815.70 = 71,078.20 : x
  2. Step 2: Convert to fraction form
    164,505.40/246,815.70 = 71,078.20/x
  3. Step 3: Cross multiply
    164,505.40x = 246,815.70 × 71,078.20
  4. Step 4: Simplify right side
    164,505.40x = 17,543,215,687.74
  5. Step 5: Solve for x
    x = 17,543,215,687.74/164,505.40
  6. Step 6: Final answer
    x = 106,642.19

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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.