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Finding the Fourth Proportional to 205,915.70, 309,073.28 and 99,374.64

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Solution

The fourth proportional to 205,915.70, 309,073.28 and 99,374.64 is: 149,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,915.70 : 309,073.28 = 99,374.64 : x
  2. Step 2: Convert to fraction form
    205,915.70/309,073.28 = 99,374.64/x
  3. Step 3: Cross multiply
    205,915.70x = 309,073.28 × 99,374.64
  4. Step 4: Simplify right side
    205,915.70x = 30,714,045,933.62
  5. Step 5: Solve for x
    x = 30,714,045,933.62/205,915.70
  6. Step 6: Final answer
    x = 149,158.35

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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.