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Finding the Fourth Proportional to 52,273.76, 78,410.64 and 12,830.54

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Solution

The fourth proportional to 52,273.76, 78,410.64 and 12,830.54 is: 19,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,273.76 : 78,410.64 = 12,830.54 : x
  2. Step 2: Convert to fraction form
    52,273.76/78,410.64 = 12,830.54/x
  3. Step 3: Cross multiply
    52,273.76x = 78,410.64 × 12,830.54
  4. Step 4: Simplify right side
    52,273.76x = 1,006,050,852.95
  5. Step 5: Solve for x
    x = 1,006,050,852.95/52,273.76
  6. Step 6: Final answer
    x = 19,245.81

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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.