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Finding the Fourth Proportional to 137,846.40, 206,510.40 and 71,059.20

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Solution

The fourth proportional to 137,846.40, 206,510.40 and 71,059.20 is: 106,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,846.40 : 206,510.40 = 71,059.20 : x
  2. Step 2: Convert to fraction form
    137,846.40/206,510.40 = 71,059.20/x
  3. Step 3: Cross multiply
    137,846.40x = 206,510.40 × 71,059.20
  4. Step 4: Simplify right side
    137,846.40x = 14,674,463,815.68
  5. Step 5: Solve for x
    x = 14,674,463,815.68/137,846.40
  6. Step 6: Final answer
    x = 106,455.18

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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.