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Finding the Fourth Proportional to 92,805.84, 128,072.16 and 50,364.39

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Solution

The fourth proportional to 92,805.84, 128,072.16 and 50,364.39 is: 69,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,805.84 : 128,072.16 = 50,364.39 : x
  2. Step 2: Convert to fraction form
    92,805.84/128,072.16 = 50,364.39/x
  3. Step 3: Cross multiply
    92,805.84x = 128,072.16 × 50,364.39
  4. Step 4: Simplify right side
    92,805.84x = 6,450,276,214.38
  5. Step 5: Solve for x
    x = 6,450,276,214.38/92,805.84
  6. Step 6: Final answer
    x = 69,502.91

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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.