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Finding the Fourth Proportional to 99,842.83, 149,722.65 and 40,638.31

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Solution

The fourth proportional to 99,842.83, 149,722.65 and 40,638.31 is: 60,940.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,842.83 : 149,722.65 = 40,638.31 : x
  2. Step 2: Convert to fraction form
    99,842.83/149,722.65 = 40,638.31/x
  3. Step 3: Cross multiply
    99,842.83x = 149,722.65 × 40,638.31
  4. Step 4: Simplify right side
    99,842.83x = 6,084,475,464.72
  5. Step 5: Solve for x
    x = 6,084,475,464.72/99,842.83
  6. Step 6: Final answer
    x = 60,940.53

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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.