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Finding the Fourth Proportional to 61,676, 85,113.12 and 33,381.68

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Solution

The fourth proportional to 61,676, 85,113.12 and 33,381.68 is: 46,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,676 : 85,113.12 = 33,381.68 : x
  2. Step 2: Convert to fraction form
    61,676/85,113.12 = 33,381.68/x
  3. Step 3: Cross multiply
    61,676x = 85,113.12 × 33,381.68
  4. Step 4: Simplify right side
    61,676x = 2,841,218,935.64
  5. Step 5: Solve for x
    x = 2,841,218,935.64/61,676
  6. Step 6: Final answer
    x = 46,066.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.