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Finding the Fourth Proportional to 162,328, 243,591.64 and 68,833.76

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Solution

The fourth proportional to 162,328, 243,591.64 and 68,833.76 is: 103,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,328 : 243,591.64 = 68,833.76 : x
  2. Step 2: Convert to fraction form
    162,328/243,591.64 = 68,833.76/x
  3. Step 3: Cross multiply
    162,328x = 243,591.64 × 68,833.76
  4. Step 4: Simplify right side
    162,328x = 16,767,328,485.77
  5. Step 5: Solve for x
    x = 16,767,328,485.77/162,328
  6. Step 6: Final answer
    x = 103,292.89

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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.