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Finding the Fourth Proportional to 342,153.58, 513,197.38 and 105,432.70

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Solution

The fourth proportional to 342,153.58, 513,197.38 and 105,432.70 is: 158,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,153.58 : 513,197.38 = 105,432.70 : x
  2. Step 2: Convert to fraction form
    342,153.58/513,197.38 = 105,432.70/x
  3. Step 3: Cross multiply
    342,153.58x = 513,197.38 × 105,432.70
  4. Step 4: Simplify right side
    342,153.58x = 54,107,785,406.33
  5. Step 5: Solve for x
    x = 54,107,785,406.33/342,153.58
  6. Step 6: Final answer
    x = 158,138.88

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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.