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Finding the Fourth Proportional to 345,152.10, 517,516.74 and 134,544

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Solution

The fourth proportional to 345,152.10, 517,516.74 and 134,544 is: 201,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,152.10 : 517,516.74 = 134,544 : x
  2. Step 2: Convert to fraction form
    345,152.10/517,516.74 = 134,544/x
  3. Step 3: Cross multiply
    345,152.10x = 517,516.74 × 134,544
  4. Step 4: Simplify right side
    345,152.10x = 69,628,772,266.56
  5. Step 5: Solve for x
    x = 69,628,772,266.56/345,152.10
  6. Step 6: Final answer
    x = 201,733.59

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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.