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Finding the Fourth Proportional to 50,358, 75,537.18 and 20,371.80

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Solution

The fourth proportional to 50,358, 75,537.18 and 20,371.80 is: 30,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,358 : 75,537.18 = 20,371.80 : x
  2. Step 2: Convert to fraction form
    50,358/75,537.18 = 20,371.80/x
  3. Step 3: Cross multiply
    50,358x = 75,537.18 × 20,371.80
  4. Step 4: Simplify right side
    50,358x = 1,538,828,323.52
  5. Step 5: Solve for x
    x = 1,538,828,323.52/50,358
  6. Step 6: Final answer
    x = 30,557.77

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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.