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Finding the Fourth Proportional to 136,704.92, 205,056.15 and 43,210.70

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Solution

The fourth proportional to 136,704.92, 205,056.15 and 43,210.70 is: 64,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,704.92 : 205,056.15 = 43,210.70 : x
  2. Step 2: Convert to fraction form
    136,704.92/205,056.15 = 43,210.70/x
  3. Step 3: Cross multiply
    136,704.92x = 205,056.15 × 43,210.70
  4. Step 4: Simplify right side
    136,704.92x = 8,860,619,780.81
  5. Step 5: Solve for x
    x = 8,860,619,780.81/136,704.92
  6. Step 6: Final answer
    x = 64,815.66

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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.