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Finding the Fourth Proportional to 206,416.16, 309,621.44 and 56,656.25

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Solution

The fourth proportional to 206,416.16, 309,621.44 and 56,656.25 is: 84,983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.16 : 309,621.44 = 56,656.25 : x
  2. Step 2: Convert to fraction form
    206,416.16/309,621.44 = 56,656.25/x
  3. Step 3: Cross multiply
    206,416.16x = 309,621.44 × 56,656.25
  4. Step 4: Simplify right side
    206,416.16x = 17,541,989,426.72
  5. Step 5: Solve for x
    x = 17,541,989,426.72/206,416.16
  6. Step 6: Final answer
    x = 84,983.61

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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.