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Finding the Fourth Proportional to 138,996, 208,528.83 and 64,168.47

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Solution

The fourth proportional to 138,996, 208,528.83 and 64,168.47 is: 96,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,996 : 208,528.83 = 64,168.47 : x
  2. Step 2: Convert to fraction form
    138,996/208,528.83 = 64,168.47/x
  3. Step 3: Cross multiply
    138,996x = 208,528.83 × 64,168.47
  4. Step 4: Simplify right side
    138,996x = 13,380,975,971.99
  5. Step 5: Solve for x
    x = 13,380,975,971.99/138,996
  6. Step 6: Final answer
    x = 96,268.78

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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.