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Finding the Fourth Proportional to 99,905.70, 137,589.21 and 97,728.42

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Solution

The fourth proportional to 99,905.70, 137,589.21 and 97,728.42 is: 134,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,905.70 : 137,589.21 = 97,728.42 : x
  2. Step 2: Convert to fraction form
    99,905.70/137,589.21 = 97,728.42/x
  3. Step 3: Cross multiply
    99,905.70x = 137,589.21 × 97,728.42
  4. Step 4: Simplify right side
    99,905.70x = 13,446,376,102.35
  5. Step 5: Solve for x
    x = 13,446,376,102.35/99,905.70
  6. Step 6: Final answer
    x = 134,590.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.