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Finding the Fourth Proportional to 123,457.68, 185,037.84 and 56,806.56

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Solution

The fourth proportional to 123,457.68, 185,037.84 and 56,806.56 is: 85,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,457.68 : 185,037.84 = 56,806.56 : x
  2. Step 2: Convert to fraction form
    123,457.68/185,037.84 = 56,806.56/x
  3. Step 3: Cross multiply
    123,457.68x = 185,037.84 × 56,806.56
  4. Step 4: Simplify right side
    123,457.68x = 10,511,363,160.23
  5. Step 5: Solve for x
    x = 10,511,363,160.23/123,457.68
  6. Step 6: Final answer
    x = 85,141.43

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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.