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Finding the Fourth Proportional to 102,709.90, 154,064.85 and 81,973.90

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Solution

The fourth proportional to 102,709.90, 154,064.85 and 81,973.90 is: 122,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,709.90 : 154,064.85 = 81,973.90 : x
  2. Step 2: Convert to fraction form
    102,709.90/154,064.85 = 81,973.90/x
  3. Step 3: Cross multiply
    102,709.90x = 154,064.85 × 81,973.90
  4. Step 4: Simplify right side
    102,709.90x = 12,629,296,607.42
  5. Step 5: Solve for x
    x = 12,629,296,607.42/102,709.90
  6. Step 6: Final answer
    x = 122,960.85

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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.