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Finding the Fourth Proportional to 205,010.40, 307,369.80 and 78,601.80

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Solution

The fourth proportional to 205,010.40, 307,369.80 and 78,601.80 is: 117,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,010.40 : 307,369.80 = 78,601.80 : x
  2. Step 2: Convert to fraction form
    205,010.40/307,369.80 = 78,601.80/x
  3. Step 3: Cross multiply
    205,010.40x = 307,369.80 × 78,601.80
  4. Step 4: Simplify right side
    205,010.40x = 24,159,819,545.64
  5. Step 5: Solve for x
    x = 24,159,819,545.64/205,010.40
  6. Step 6: Final answer
    x = 117,846.80

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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.