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Finding the Fourth Proportional to 99,703.68, 149,664.96 and 49,769.76

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Solution

The fourth proportional to 99,703.68, 149,664.96 and 49,769.76 is: 74,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,703.68 : 149,664.96 = 49,769.76 : x
  2. Step 2: Convert to fraction form
    99,703.68/149,664.96 = 49,769.76/x
  3. Step 3: Cross multiply
    99,703.68x = 149,664.96 × 49,769.76
  4. Step 4: Simplify right side
    99,703.68x = 7,448,789,139.61
  5. Step 5: Solve for x
    x = 7,448,789,139.61/99,703.68
  6. Step 6: Final answer
    x = 74,709.27

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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.