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Finding the Fourth Proportional to 89,674.32, 123,640.92 and 56,082

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Solution

The fourth proportional to 89,674.32, 123,640.92 and 56,082 is: 77,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,674.32 : 123,640.92 = 56,082 : x
  2. Step 2: Convert to fraction form
    89,674.32/123,640.92 = 56,082/x
  3. Step 3: Cross multiply
    89,674.32x = 123,640.92 × 56,082
  4. Step 4: Simplify right side
    89,674.32x = 6,934,030,075.44
  5. Step 5: Solve for x
    x = 6,934,030,075.44/89,674.32
  6. Step 6: Final answer
    x = 77,324.59

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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.