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Finding the Fourth Proportional to 243,610.20, 365,406.80 and 85,835.16

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Solution

The fourth proportional to 243,610.20, 365,406.80 and 85,835.16 is: 128,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,610.20 : 365,406.80 = 85,835.16 : x
  2. Step 2: Convert to fraction form
    243,610.20/365,406.80 = 85,835.16/x
  3. Step 3: Cross multiply
    243,610.20x = 365,406.80 × 85,835.16
  4. Step 4: Simplify right side
    243,610.20x = 31,364,751,143.09
  5. Step 5: Solve for x
    x = 31,364,751,143.09/243,610.20
  6. Step 6: Final answer
    x = 128,749.75

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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.