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Finding the Fourth Proportional to 138,892.68, 208,416.24 and 67,816.22

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Solution

The fourth proportional to 138,892.68, 208,416.24 and 67,816.22 is: 101,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,892.68 : 208,416.24 = 67,816.22 : x
  2. Step 2: Convert to fraction form
    138,892.68/208,416.24 = 67,816.22/x
  3. Step 3: Cross multiply
    138,892.68x = 208,416.24 × 67,816.22
  4. Step 4: Simplify right side
    138,892.68x = 14,134,000,541.33
  5. Step 5: Solve for x
    x = 14,134,000,541.33/138,892.68
  6. Step 6: Final answer
    x = 101,762.03

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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.