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Finding the Fourth Proportional to 206,503.20, 309,754.80 and 127,771.20

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Solution

The fourth proportional to 206,503.20, 309,754.80 and 127,771.20 is: 191,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,503.20 : 309,754.80 = 127,771.20 : x
  2. Step 2: Convert to fraction form
    206,503.20/309,754.80 = 127,771.20/x
  3. Step 3: Cross multiply
    206,503.20x = 309,754.80 × 127,771.20
  4. Step 4: Simplify right side
    206,503.20x = 39,577,742,501.76
  5. Step 5: Solve for x
    x = 39,577,742,501.76/206,503.20
  6. Step 6: Final answer
    x = 191,656.80

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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.