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Finding the Fourth Proportional to 345,166.10, 517,537.74 and 134,558

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Solution

The fourth proportional to 345,166.10, 517,537.74 and 134,558 is: 201,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,166.10 : 517,537.74 = 134,558 : x
  2. Step 2: Convert to fraction form
    345,166.10/517,537.74 = 134,558/x
  3. Step 3: Cross multiply
    345,166.10x = 517,537.74 × 134,558
  4. Step 4: Simplify right side
    345,166.10x = 69,638,843,218.92
  5. Step 5: Solve for x
    x = 69,638,843,218.92/345,166.10
  6. Step 6: Final answer
    x = 201,754.58

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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.