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Finding the Fourth Proportional to 152,930, 211,043.40 and 85,863.44

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Solution

The fourth proportional to 152,930, 211,043.40 and 85,863.44 is: 118,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,930 : 211,043.40 = 85,863.44 : x
  2. Step 2: Convert to fraction form
    152,930/211,043.40 = 85,863.44/x
  3. Step 3: Cross multiply
    152,930x = 211,043.40 × 85,863.44
  4. Step 4: Simplify right side
    152,930x = 18,120,912,313.30
  5. Step 5: Solve for x
    x = 18,120,912,313.30/152,930
  6. Step 6: Final answer
    x = 118,491.55

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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.