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Finding the Fourth Proportional to 206,597.06, 309,854.79 and 56,798.72

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Solution

The fourth proportional to 206,597.06, 309,854.79 and 56,798.72 is: 85,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,597.06 : 309,854.79 = 56,798.72 : x
  2. Step 2: Convert to fraction form
    206,597.06/309,854.79 = 56,798.72/x
  3. Step 3: Cross multiply
    206,597.06x = 309,854.79 × 56,798.72
  4. Step 4: Simplify right side
    206,597.06x = 17,599,355,457.87
  5. Step 5: Solve for x
    x = 17,599,355,457.87/206,597.06
  6. Step 6: Final answer
    x = 85,186.86

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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.