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Finding the Fourth Proportional to 205,810.34, 308,396.84 and 142,753.05

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Solution

The fourth proportional to 205,810.34, 308,396.84 and 142,753.05 is: 213,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,810.34 : 308,396.84 = 142,753.05 : x
  2. Step 2: Convert to fraction form
    205,810.34/308,396.84 = 142,753.05/x
  3. Step 3: Cross multiply
    205,810.34x = 308,396.84 × 142,753.05
  4. Step 4: Simplify right side
    205,810.34x = 44,024,588,806.60
  5. Step 5: Solve for x
    x = 44,024,588,806.60/205,810.34
  6. Step 6: Final answer
    x = 213,908.54

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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.