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Finding the Fourth Proportional to 109,721.80, 153,714.20 and 109,721.80

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Solution

The fourth proportional to 109,721.80, 153,714.20 and 109,721.80 is: 153,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,721.80 : 153,714.20 = 109,721.80 : x
  2. Step 2: Convert to fraction form
    109,721.80/153,714.20 = 109,721.80/x
  3. Step 3: Cross multiply
    109,721.80x = 153,714.20 × 109,721.80
  4. Step 4: Simplify right side
    109,721.80x = 16,865,798,709.56
  5. Step 5: Solve for x
    x = 16,865,798,709.56/109,721.80
  6. Step 6: Final answer
    x = 153,714.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.