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Finding the Fourth Proportional to 89,693.84, 134,558.40 and 30,513.44

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Solution

The fourth proportional to 89,693.84, 134,558.40 and 30,513.44 is: 45,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,693.84 : 134,558.40 = 30,513.44 : x
  2. Step 2: Convert to fraction form
    89,693.84/134,558.40 = 30,513.44/x
  3. Step 3: Cross multiply
    89,693.84x = 134,558.40 × 30,513.44
  4. Step 4: Simplify right side
    89,693.84x = 4,105,839,664.90
  5. Step 5: Solve for x
    x = 4,105,839,664.90/89,693.84
  6. Step 6: Final answer
    x = 45,776.16

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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.