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Finding the Fourth Proportional to 100,516.63, 138,706.65 and 55,194.40

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Solution

The fourth proportional to 100,516.63, 138,706.65 and 55,194.40 is: 76,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,516.63 : 138,706.65 = 55,194.40 : x
  2. Step 2: Convert to fraction form
    100,516.63/138,706.65 = 55,194.40/x
  3. Step 3: Cross multiply
    100,516.63x = 138,706.65 × 55,194.40
  4. Step 4: Simplify right side
    100,516.63x = 7,655,829,975.99
  5. Step 5: Solve for x
    x = 7,655,829,975.99/100,516.63
  6. Step 6: Final answer
    x = 76,164.81

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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.