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Finding the Fourth Proportional to 201,114.32, 301,438.20 and 161,715.92

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Solution

The fourth proportional to 201,114.32, 301,438.20 and 161,715.92 is: 242,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,114.32 : 301,438.20 = 161,715.92 : x
  2. Step 2: Convert to fraction form
    201,114.32/301,438.20 = 161,715.92/x
  3. Step 3: Cross multiply
    201,114.32x = 301,438.20 × 161,715.92
  4. Step 4: Simplify right side
    201,114.32x = 48,747,355,836.14
  5. Step 5: Solve for x
    x = 48,747,355,836.14/201,114.32
  6. Step 6: Final answer
    x = 242,386.30

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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.