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Finding the Fourth Proportional to 72,634.68, 100,169.28 and 47,114.46

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Solution

The fourth proportional to 72,634.68, 100,169.28 and 47,114.46 is: 64,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,634.68 : 100,169.28 = 47,114.46 : x
  2. Step 2: Convert to fraction form
    72,634.68/100,169.28 = 47,114.46/x
  3. Step 3: Cross multiply
    72,634.68x = 100,169.28 × 47,114.46
  4. Step 4: Simplify right side
    72,634.68x = 4,719,421,535.79
  5. Step 5: Solve for x
    x = 4,719,421,535.79/72,634.68
  6. Step 6: Final answer
    x = 64,974.77

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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.