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Finding the Fourth Proportional to 89,676.32, 123,643.68 and 56,084

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Solution

The fourth proportional to 89,676.32, 123,643.68 and 56,084 is: 77,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,676.32 : 123,643.68 = 56,084 : x
  2. Step 2: Convert to fraction form
    89,676.32/123,643.68 = 56,084/x
  3. Step 3: Cross multiply
    89,676.32x = 123,643.68 × 56,084
  4. Step 4: Simplify right side
    89,676.32x = 6,934,432,149.12
  5. Step 5: Solve for x
    x = 6,934,432,149.12/89,676.32
  6. Step 6: Final answer
    x = 77,327.35

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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.