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Finding the Fourth Proportional to 202,457.94, 303,871.86 and 102,687.00

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Solution

The fourth proportional to 202,457.94, 303,871.86 and 102,687.00 is: 154,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,457.94 : 303,871.86 = 102,687.00 : x
  2. Step 2: Convert to fraction form
    202,457.94/303,871.86 = 102,687.00/x
  3. Step 3: Cross multiply
    202,457.94x = 303,871.86 × 102,687.00
  4. Step 4: Simplify right side
    202,457.94x = 31,203,687,655.03
  5. Step 5: Solve for x
    x = 31,203,687,655.03/202,457.94
  6. Step 6: Final answer
    x = 154,124.30

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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.