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Finding the Fourth Proportional to 136,838.57, 205,316.98 and 73,584.76

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Solution

The fourth proportional to 136,838.57, 205,316.98 and 73,584.76 is: 110,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,838.57 : 205,316.98 = 73,584.76 : x
  2. Step 2: Convert to fraction form
    136,838.57/205,316.98 = 73,584.76/x
  3. Step 3: Cross multiply
    136,838.57x = 205,316.98 × 73,584.76
  4. Step 4: Simplify right side
    136,838.57x = 15,108,200,697.22
  5. Step 5: Solve for x
    x = 15,108,200,697.22/136,838.57
  6. Step 6: Final answer
    x = 110,408.93

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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.