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Finding the Fourth Proportional to 206,420.16, 309,768.32 and 75,092.16

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Solution

The fourth proportional to 206,420.16, 309,768.32 and 75,092.16 is: 112,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,420.16 : 309,768.32 = 75,092.16 : x
  2. Step 2: Convert to fraction form
    206,420.16/309,768.32 = 75,092.16/x
  3. Step 3: Cross multiply
    206,420.16x = 309,768.32 × 75,092.16
  4. Step 4: Simplify right side
    206,420.16x = 23,261,172,248.37
  5. Step 5: Solve for x
    x = 23,261,172,248.37/206,420.16
  6. Step 6: Final answer
    x = 112,688.47

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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.