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Finding the Fourth Proportional to 201,810.30, 302,715.45 and 130,847.10

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Solution

The fourth proportional to 201,810.30, 302,715.45 and 130,847.10 is: 196,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810.30 : 302,715.45 = 130,847.10 : x
  2. Step 2: Convert to fraction form
    201,810.30/302,715.45 = 130,847.10/x
  3. Step 3: Cross multiply
    201,810.30x = 302,715.45 × 130,847.10
  4. Step 4: Simplify right side
    201,810.30x = 39,609,438,757.70
  5. Step 5: Solve for x
    x = 39,609,438,757.70/201,810.30
  6. Step 6: Final answer
    x = 196,270.65

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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.