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Finding the Fourth Proportional to 201,638.59, 302,457.89 and 75,288.68

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Solution

The fourth proportional to 201,638.59, 302,457.89 and 75,288.68 is: 112,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.59 : 302,457.89 = 75,288.68 : x
  2. Step 2: Convert to fraction form
    201,638.59/302,457.89 = 75,288.68/x
  3. Step 3: Cross multiply
    201,638.59x = 302,457.89 × 75,288.68
  4. Step 4: Simplify right side
    201,638.59x = 22,771,655,673.39
  5. Step 5: Solve for x
    x = 22,771,655,673.39/201,638.59
  6. Step 6: Final answer
    x = 112,933.03

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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.