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Finding the Fourth Proportional to 152,446.25, 210,375.83 and 85,378.25

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Solution

The fourth proportional to 152,446.25, 210,375.83 and 85,378.25 is: 117,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,446.25 : 210,375.83 = 85,378.25 : x
  2. Step 2: Convert to fraction form
    152,446.25/210,375.83 = 85,378.25/x
  3. Step 3: Cross multiply
    152,446.25x = 210,375.83 × 85,378.25
  4. Step 4: Simplify right side
    152,446.25x = 17,961,520,207.70
  5. Step 5: Solve for x
    x = 17,961,520,207.70/152,446.25
  6. Step 6: Final answer
    x = 117,821.99

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1.5x scale

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.