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Finding the Fourth Proportional to 138,759.68, 208,203.11 and 75,485.01

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Solution

The fourth proportional to 138,759.68, 208,203.11 and 75,485.01 is: 113,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,759.68 : 208,203.11 = 75,485.01 : x
  2. Step 2: Convert to fraction form
    138,759.68/208,203.11 = 75,485.01/x
  3. Step 3: Cross multiply
    138,759.68x = 208,203.11 × 75,485.01
  4. Step 4: Simplify right side
    138,759.68x = 15,716,214,526.79
  5. Step 5: Solve for x
    x = 15,716,214,526.79/138,759.68
  6. Step 6: Final answer
    x = 113,262.11

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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.