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Finding the Fourth Proportional to 202,005.90, 302,753.70 and 102,193.65

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Solution

The fourth proportional to 202,005.90, 302,753.70 and 102,193.65 is: 153,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,005.90 : 302,753.70 = 102,193.65 : x
  2. Step 2: Convert to fraction form
    202,005.90/302,753.70 = 102,193.65/x
  3. Step 3: Cross multiply
    202,005.90x = 302,753.70 × 102,193.65
  4. Step 4: Simplify right side
    202,005.90x = 30,939,505,654.01
  5. Step 5: Solve for x
    x = 30,939,505,654.01/202,005.90
  6. Step 6: Final answer
    x = 153,161.40

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1.5x scale

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.