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Finding the Fourth Proportional to 99,806.80, 149,771.76 and 46,489.36

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Solution

The fourth proportional to 99,806.80, 149,771.76 and 46,489.36 is: 69,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806.80 : 149,771.76 = 46,489.36 : x
  2. Step 2: Convert to fraction form
    99,806.80/149,771.76 = 46,489.36/x
  3. Step 3: Cross multiply
    99,806.80x = 149,771.76 × 46,489.36
  4. Step 4: Simplify right side
    99,806.80x = 6,962,793,268.47
  5. Step 5: Solve for x
    x = 6,962,793,268.47/99,806.80
  6. Step 6: Final answer
    x = 69,762.71

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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.