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Finding the Fourth Proportional to 90,305.84, 135,384.87 and 34,114.06

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Solution

The fourth proportional to 90,305.84, 135,384.87 and 34,114.06 is: 51,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,305.84 : 135,384.87 = 34,114.06 : x
  2. Step 2: Convert to fraction form
    90,305.84/135,384.87 = 34,114.06/x
  3. Step 3: Cross multiply
    90,305.84x = 135,384.87 × 34,114.06
  4. Step 4: Simplify right side
    90,305.84x = 4,618,527,683.54
  5. Step 5: Solve for x
    x = 4,618,527,683.54/90,305.84
  6. Step 6: Final answer
    x = 51,143.18

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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.