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Finding the Fourth Proportional to 106,451.21, 146,750.00 and 83,750.78

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Solution

The fourth proportional to 106,451.21, 146,750.00 and 83,750.78 is: 115,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,451.21 : 146,750.00 = 83,750.78 : x
  2. Step 2: Convert to fraction form
    106,451.21/146,750.00 = 83,750.78/x
  3. Step 3: Cross multiply
    106,451.21x = 146,750.00 × 83,750.78
  4. Step 4: Simplify right side
    106,451.21x = 12,290,425,812.50
  5. Step 5: Solve for x
    x = 12,290,425,812.50/106,451.21
  6. Step 6: Final answer
    x = 115,455.96

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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.