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Finding the Fourth Proportional to 107,830.76, 161,837.02 and 45,545.96

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Solution

The fourth proportional to 107,830.76, 161,837.02 and 45,545.96 is: 68,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,830.76 : 161,837.02 = 45,545.96 : x
  2. Step 2: Convert to fraction form
    107,830.76/161,837.02 = 45,545.96/x
  3. Step 3: Cross multiply
    107,830.76x = 161,837.02 × 45,545.96
  4. Step 4: Simplify right side
    107,830.76x = 7,371,022,439.44
  5. Step 5: Solve for x
    x = 7,371,022,439.44/107,830.76
  6. Step 6: Final answer
    x = 68,357.33

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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.