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Finding the Fourth Proportional to 85,727, 128,673.64 and 41,385

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Solution

The fourth proportional to 85,727, 128,673.64 and 41,385 is: 62,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,727 : 128,673.64 = 41,385 : x
  2. Step 2: Convert to fraction form
    85,727/128,673.64 = 41,385/x
  3. Step 3: Cross multiply
    85,727x = 128,673.64 × 41,385
  4. Step 4: Simplify right side
    85,727x = 5,325,158,591.40
  5. Step 5: Solve for x
    x = 5,325,158,591.40/85,727
  6. Step 6: Final answer
    x = 62,117.64

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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.