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Finding the Fourth Proportional to 206,458.08, 309,687.52 and 56,700.32

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Solution

The fourth proportional to 206,458.08, 309,687.52 and 56,700.32 is: 85,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,458.08 : 309,687.52 = 56,700.32 : x
  2. Step 2: Convert to fraction form
    206,458.08/309,687.52 = 56,700.32/x
  3. Step 3: Cross multiply
    206,458.08x = 309,687.52 × 56,700.32
  4. Step 4: Simplify right side
    206,458.08x = 17,559,381,484.01
  5. Step 5: Solve for x
    x = 17,559,381,484.01/206,458.08
  6. Step 6: Final answer
    x = 85,050.59

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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.