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Finding the Fourth Proportional to 285,062.22, 427,596.57 and 74,721.42

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Solution

The fourth proportional to 285,062.22, 427,596.57 and 74,721.42 is: 112,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,062.22 : 427,596.57 = 74,721.42 : x
  2. Step 2: Convert to fraction form
    285,062.22/427,596.57 = 74,721.42/x
  3. Step 3: Cross multiply
    285,062.22x = 427,596.57 × 74,721.42
  4. Step 4: Simplify right side
    285,062.22x = 31,950,622,897.53
  5. Step 5: Solve for x
    x = 31,950,622,897.53/285,062.22
  6. Step 6: Final answer
    x = 112,082.98

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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.