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Finding the Fourth Proportional to 72,657.38, 100,308.30 and 47,186.52

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Solution

The fourth proportional to 72,657.38, 100,308.30 and 47,186.52 is: 65,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,657.38 : 100,308.30 = 47,186.52 : x
  2. Step 2: Convert to fraction form
    72,657.38/100,308.30 = 47,186.52/x
  3. Step 3: Cross multiply
    72,657.38x = 100,308.30 × 47,186.52
  4. Step 4: Simplify right side
    72,657.38x = 4,733,199,604.12
  5. Step 5: Solve for x
    x = 4,733,199,604.12/72,657.38
  6. Step 6: Final answer
    x = 65,144.10

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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.