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Finding the Fourth Proportional to 52,243.69, 78,365.54 and 12,800.47

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Solution

The fourth proportional to 52,243.69, 78,365.54 and 12,800.47 is: 19,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,243.69 : 78,365.54 = 12,800.47 : x
  2. Step 2: Convert to fraction form
    52,243.69/78,365.54 = 12,800.47/x
  3. Step 3: Cross multiply
    52,243.69x = 78,365.54 × 12,800.47
  4. Step 4: Simplify right side
    52,243.69x = 1,003,115,351.98
  5. Step 5: Solve for x
    x = 1,003,115,351.98/52,243.69
  6. Step 6: Final answer
    x = 19,200.70

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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.