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Finding the Fourth Proportional to 67,802, 101,708.80 and 17,881.68

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Solution

The fourth proportional to 67,802, 101,708.80 and 17,881.68 is: 26,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,802 : 101,708.80 = 17,881.68 : x
  2. Step 2: Convert to fraction form
    67,802/101,708.80 = 17,881.68/x
  3. Step 3: Cross multiply
    67,802x = 101,708.80 × 17,881.68
  4. Step 4: Simplify right side
    67,802x = 1,818,724,214.78
  5. Step 5: Solve for x
    x = 1,818,724,214.78/67,802
  6. Step 6: Final answer
    x = 26,824.05

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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.