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Finding the Fourth Proportional to 100,409.63, 138,513.24 and 68,133.15

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Solution

The fourth proportional to 100,409.63, 138,513.24 and 68,133.15 is: 93,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.63 : 138,513.24 = 68,133.15 : x
  2. Step 2: Convert to fraction form
    100,409.63/138,513.24 = 68,133.15/x
  3. Step 3: Cross multiply
    100,409.63x = 138,513.24 × 68,133.15
  4. Step 4: Simplify right side
    100,409.63x = 9,437,343,357.91
  5. Step 5: Solve for x
    x = 9,437,343,357.91/100,409.63
  6. Step 6: Final answer
    x = 93,988.43

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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.