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Finding the Fourth Proportional to 52,442.78, 78,662.73 and 12,999.02

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Solution

The fourth proportional to 52,442.78, 78,662.73 and 12,999.02 is: 19,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,442.78 : 78,662.73 = 12,999.02 : x
  2. Step 2: Convert to fraction form
    52,442.78/78,662.73 = 12,999.02/x
  3. Step 3: Cross multiply
    52,442.78x = 78,662.73 × 12,999.02
  4. Step 4: Simplify right side
    52,442.78x = 1,022,538,400.52
  5. Step 5: Solve for x
    x = 1,022,538,400.52/52,442.78
  6. Step 6: Final answer
    x = 19,498.17

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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.