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Finding the Fourth Proportional to 215,389.84, 323,084.85 and 96,922.80

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Solution

The fourth proportional to 215,389.84, 323,084.85 and 96,922.80 is: 145,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,389.84 : 323,084.85 = 96,922.80 : x
  2. Step 2: Convert to fraction form
    215,389.84/323,084.85 = 96,922.80/x
  3. Step 3: Cross multiply
    215,389.84x = 323,084.85 × 96,922.80
  4. Step 4: Simplify right side
    215,389.84x = 31,314,288,299.58
  5. Step 5: Solve for x
    x = 31,314,288,299.58/215,389.84
  6. Step 6: Final answer
    x = 145,384.24

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1.5x scale

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.