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Finding the Fourth Proportional to 243,262.24, 364,744.32 and 85,508.80

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Solution

The fourth proportional to 243,262.24, 364,744.32 and 85,508.80 is: 128,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,262.24 : 364,744.32 = 85,508.80 : x
  2. Step 2: Convert to fraction form
    243,262.24/364,744.32 = 85,508.80/x
  3. Step 3: Cross multiply
    243,262.24x = 364,744.32 × 85,508.80
  4. Step 4: Simplify right side
    243,262.24x = 31,188,849,110.02
  5. Step 5: Solve for x
    x = 31,188,849,110.02/243,262.24
  6. Step 6: Final answer
    x = 128,210.81

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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.