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Finding the Fourth Proportional to 85,005.82, 127,508.82 and 31,696.98

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Solution

The fourth proportional to 85,005.82, 127,508.82 and 31,696.98 is: 47,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,005.82 : 127,508.82 = 31,696.98 : x
  2. Step 2: Convert to fraction form
    85,005.82/127,508.82 = 31,696.98/x
  3. Step 3: Cross multiply
    85,005.82x = 127,508.82 × 31,696.98
  4. Step 4: Simplify right side
    85,005.82x = 4,041,644,358.88
  5. Step 5: Solve for x
    x = 4,041,644,358.88/85,005.82
  6. Step 6: Final answer
    x = 47,545.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.