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Finding the Fourth Proportional to 106,543.40, 159,704.40 and 43,336.40

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Solution

The fourth proportional to 106,543.40, 159,704.40 and 43,336.40 is: 64,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.40 : 159,704.40 = 43,336.40 : x
  2. Step 2: Convert to fraction form
    106,543.40/159,704.40 = 43,336.40/x
  3. Step 3: Cross multiply
    106,543.40x = 159,704.40 × 43,336.40
  4. Step 4: Simplify right side
    106,543.40x = 6,921,013,760.16
  5. Step 5: Solve for x
    x = 6,921,013,760.16/106,543.40
  6. Step 6: Final answer
    x = 64,959.57

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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.