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Finding the Fourth Proportional to 243,096.86, 364,808.37 and 85,325.78

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Solution

The fourth proportional to 243,096.86, 364,808.37 and 85,325.78 is: 128,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,096.86 : 364,808.37 = 85,325.78 : x
  2. Step 2: Convert to fraction form
    243,096.86/364,808.37 = 85,325.78/x
  3. Step 3: Cross multiply
    243,096.86x = 364,808.37 × 85,325.78
  4. Step 4: Simplify right side
    243,096.86x = 31,127,558,720.78
  5. Step 5: Solve for x
    x = 31,127,558,720.78/243,096.86
  6. Step 6: Final answer
    x = 128,045.91

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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.