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Finding the Fourth Proportional to 81,964.60, 122,946.90 and 73,209.40

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Solution

The fourth proportional to 81,964.60, 122,946.90 and 73,209.40 is: 109,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,964.60 : 122,946.90 = 73,209.40 : x
  2. Step 2: Convert to fraction form
    81,964.60/122,946.90 = 73,209.40/x
  3. Step 3: Cross multiply
    81,964.60x = 122,946.90 × 73,209.40
  4. Step 4: Simplify right side
    81,964.60x = 9,000,868,780.86
  5. Step 5: Solve for x
    x = 9,000,868,780.86/81,964.60
  6. Step 6: Final answer
    x = 109,814.10

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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.