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Finding the Fourth Proportional to 135,466.82, 187,034.61 and 84,500

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Solution

The fourth proportional to 135,466.82, 187,034.61 and 84,500 is: 116,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,466.82 : 187,034.61 = 84,500 : x
  2. Step 2: Convert to fraction form
    135,466.82/187,034.61 = 84,500/x
  3. Step 3: Cross multiply
    135,466.82x = 187,034.61 × 84,500
  4. Step 4: Simplify right side
    135,466.82x = 15,804,424,545.00
  5. Step 5: Solve for x
    x = 15,804,424,545.00/135,466.82
  6. Step 6: Final answer
    x = 116,666.39

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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.