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Finding the Fourth Proportional to 120,491.76, 166,130.82 and 97,766.40

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Solution

The fourth proportional to 120,491.76, 166,130.82 and 97,766.40 is: 134,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,491.76 : 166,130.82 = 97,766.40 : x
  2. Step 2: Convert to fraction form
    120,491.76/166,130.82 = 97,766.40/x
  3. Step 3: Cross multiply
    120,491.76x = 166,130.82 × 97,766.40
  4. Step 4: Simplify right side
    120,491.76x = 16,242,012,200.45
  5. Step 5: Solve for x
    x = 16,242,012,200.45/120,491.76
  6. Step 6: Final answer
    x = 134,797.70

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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.