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Finding the Fourth Proportional to 204,954.40, 307,285.80 and 78,545.80

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Solution

The fourth proportional to 204,954.40, 307,285.80 and 78,545.80 is: 117,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,954.40 : 307,285.80 = 78,545.80 : x
  2. Step 2: Convert to fraction form
    204,954.40/307,285.80 = 78,545.80/x
  3. Step 3: Cross multiply
    204,954.40x = 307,285.80 × 78,545.80
  4. Step 4: Simplify right side
    204,954.40x = 24,136,008,989.64
  5. Step 5: Solve for x
    x = 24,136,008,989.64/204,954.40
  6. Step 6: Final answer
    x = 117,762.82

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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.