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Finding the Fourth Proportional to 201,742.70, 302,614.05 and 103,438.70

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Solution

The fourth proportional to 201,742.70, 302,614.05 and 103,438.70 is: 155,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,742.70 : 302,614.05 = 103,438.70 : x
  2. Step 2: Convert to fraction form
    201,742.70/302,614.05 = 103,438.70/x
  3. Step 3: Cross multiply
    201,742.70x = 302,614.05 × 103,438.70
  4. Step 4: Simplify right side
    201,742.70x = 31,302,003,933.74
  5. Step 5: Solve for x
    x = 31,302,003,933.74/201,742.70
  6. Step 6: Final answer
    x = 155,158.05

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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.