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Finding the Fourth Proportional to 85,941, 128,963.34 and 36,693

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Solution

The fourth proportional to 85,941, 128,963.34 and 36,693 is: 55,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,941 : 128,963.34 = 36,693 : x
  2. Step 2: Convert to fraction form
    85,941/128,963.34 = 36,693/x
  3. Step 3: Cross multiply
    85,941x = 128,963.34 × 36,693
  4. Step 4: Simplify right side
    85,941x = 4,732,051,834.62
  5. Step 5: Solve for x
    x = 4,732,051,834.62/85,941
  6. Step 6: Final answer
    x = 55,061.63

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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.