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Finding the Fourth Proportional to 105,464.80, 157,966.80 and 81,906.40

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Solution

The fourth proportional to 105,464.80, 157,966.80 and 81,906.40 is: 122,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,464.80 : 157,966.80 = 81,906.40 : x
  2. Step 2: Convert to fraction form
    105,464.80/157,966.80 = 81,906.40/x
  3. Step 3: Cross multiply
    105,464.80x = 157,966.80 × 81,906.40
  4. Step 4: Simplify right side
    105,464.80x = 12,938,491,907.52
  5. Step 5: Solve for x
    x = 12,938,491,907.52/105,464.80
  6. Step 6: Final answer
    x = 122,680.67

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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.