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Finding the Fourth Proportional to 92,841.47, 128,122.79 and 50,400

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Solution

The fourth proportional to 92,841.47, 128,122.79 and 50,400 is: 69,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,841.47 : 128,122.79 = 50,400 : x
  2. Step 2: Convert to fraction form
    92,841.47/128,122.79 = 50,400/x
  3. Step 3: Cross multiply
    92,841.47x = 128,122.79 × 50,400
  4. Step 4: Simplify right side
    92,841.47x = 6,457,388,364
  5. Step 5: Solve for x
    x = 6,457,388,364/92,841.47
  6. Step 6: Final answer
    x = 69,552.85

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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.