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Finding the Fourth Proportional to 201,809.80, 302,714.70 and 138,824.20

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Solution

The fourth proportional to 201,809.80, 302,714.70 and 138,824.20 is: 208,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809.80 : 302,714.70 = 138,824.20 : x
  2. Step 2: Convert to fraction form
    201,809.80/302,714.70 = 138,824.20/x
  3. Step 3: Cross multiply
    201,809.80x = 302,714.70 × 138,824.20
  4. Step 4: Simplify right side
    201,809.80x = 42,024,126,055.74
  5. Step 5: Solve for x
    x = 42,024,126,055.74/201,809.80
  6. Step 6: Final answer
    x = 208,236.30

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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.