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Finding the Fourth Proportional to 109,809.80, 164,714.70 and 43,213.76

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Solution

The fourth proportional to 109,809.80, 164,714.70 and 43,213.76 is: 64,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,809.80 : 164,714.70 = 43,213.76 : x
  2. Step 2: Convert to fraction form
    109,809.80/164,714.70 = 43,213.76/x
  3. Step 3: Cross multiply
    109,809.80x = 164,714.70 × 43,213.76
  4. Step 4: Simplify right side
    109,809.80x = 7,117,941,514.27
  5. Step 5: Solve for x
    x = 7,117,941,514.27/109,809.80
  6. Step 6: Final answer
    x = 64,820.64

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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.