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Finding the Fourth Proportional to 145,867, 201,296.64 and 78,799

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Solution

The fourth proportional to 145,867, 201,296.64 and 78,799 is: 108,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,867 : 201,296.64 = 78,799 : x
  2. Step 2: Convert to fraction form
    145,867/201,296.64 = 78,799/x
  3. Step 3: Cross multiply
    145,867x = 201,296.64 × 78,799
  4. Step 4: Simplify right side
    145,867x = 15,861,973,935.36
  5. Step 5: Solve for x
    x = 15,861,973,935.36/145,867
  6. Step 6: Final answer
    x = 108,742.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.