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Finding the Fourth Proportional to 217,145.49, 325,655.78 and 74,953.82

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Solution

The fourth proportional to 217,145.49, 325,655.78 and 74,953.82 is: 112,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,145.49 : 325,655.78 = 74,953.82 : x
  2. Step 2: Convert to fraction form
    217,145.49/325,655.78 = 74,953.82/x
  3. Step 3: Cross multiply
    217,145.49x = 325,655.78 × 74,953.82
  4. Step 4: Simplify right side
    217,145.49x = 24,409,142,713.03
  5. Step 5: Solve for x
    x = 24,409,142,713.03/217,145.49
  6. Step 6: Final answer
    x = 112,409.16

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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.