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Finding the Fourth Proportional to 109,638.82, 164,515.87 and 77,823.21

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Solution

The fourth proportional to 109,638.82, 164,515.87 and 77,823.21 is: 116,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,638.82 : 164,515.87 = 77,823.21 : x
  2. Step 2: Convert to fraction form
    109,638.82/164,515.87 = 77,823.21/x
  3. Step 3: Cross multiply
    109,638.82x = 164,515.87 × 77,823.21
  4. Step 4: Simplify right side
    109,638.82x = 12,803,153,774.68
  5. Step 5: Solve for x
    x = 12,803,153,774.68/109,638.82
  6. Step 6: Final answer
    x = 116,775.73

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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.