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Finding the Fourth Proportional to 85,409.10, 128,192.04 and 43,318.49

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Solution

The fourth proportional to 85,409.10, 128,192.04 and 43,318.49 is: 65,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,409.10 : 128,192.04 = 43,318.49 : x
  2. Step 2: Convert to fraction form
    85,409.10/128,192.04 = 43,318.49/x
  3. Step 3: Cross multiply
    85,409.10x = 128,192.04 × 43,318.49
  4. Step 4: Simplify right side
    85,409.10x = 5,553,084,961.86
  5. Step 5: Solve for x
    x = 5,553,084,961.86/85,409.10
  6. Step 6: Final answer
    x = 65,017.49

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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.