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Finding the Fourth Proportional to 134,357, 185,412.84 and 74,741

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Solution

The fourth proportional to 134,357, 185,412.84 and 74,741 is: 103,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,357 : 185,412.84 = 74,741 : x
  2. Step 2: Convert to fraction form
    134,357/185,412.84 = 74,741/x
  3. Step 3: Cross multiply
    134,357x = 185,412.84 × 74,741
  4. Step 4: Simplify right side
    134,357x = 13,857,941,074.44
  5. Step 5: Solve for x
    x = 13,857,941,074.44/134,357
  6. Step 6: Final answer
    x = 103,142.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.