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Finding the Fourth Proportional to 137,208.64, 205,810.72 and 43,713.12

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Solution

The fourth proportional to 137,208.64, 205,810.72 and 43,713.12 is: 65,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,208.64 : 205,810.72 = 43,713.12 : x
  2. Step 2: Convert to fraction form
    137,208.64/205,810.72 = 43,713.12/x
  3. Step 3: Cross multiply
    137,208.64x = 205,810.72 × 43,713.12
  4. Step 4: Simplify right side
    137,208.64x = 8,996,628,700.65
  5. Step 5: Solve for x
    x = 8,996,628,700.65/137,208.64
  6. Step 6: Final answer
    x = 65,568.97

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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.