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Finding the Fourth Proportional to 202,152.90, 302,901.30 and 127,138.80

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Solution

The fourth proportional to 202,152.90, 302,901.30 and 127,138.80 is: 190,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,152.90 : 302,901.30 = 127,138.80 : x
  2. Step 2: Convert to fraction form
    202,152.90/302,901.30 = 127,138.80/x
  3. Step 3: Cross multiply
    202,152.90x = 302,901.30 × 127,138.80
  4. Step 4: Simplify right side
    202,152.90x = 38,510,507,800.44
  5. Step 5: Solve for x
    x = 38,510,507,800.44/202,152.90
  6. Step 6: Final answer
    x = 190,501.88

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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.