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Finding the Fourth Proportional to 92,861.46, 128,148.82 and 50,420

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Solution

The fourth proportional to 92,861.46, 128,148.82 and 50,420 is: 69,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,861.46 : 128,148.82 = 50,420 : x
  2. Step 2: Convert to fraction form
    92,861.46/128,148.82 = 50,420/x
  3. Step 3: Cross multiply
    92,861.46x = 128,148.82 × 50,420
  4. Step 4: Simplify right side
    92,861.46x = 6,461,263,504.40
  5. Step 5: Solve for x
    x = 6,461,263,504.40/92,861.46
  6. Step 6: Final answer
    x = 69,579.60

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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.