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Finding the Fourth Proportional to 51,978, 78,001.56 and 19,146

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Solution

The fourth proportional to 51,978, 78,001.56 and 19,146 is: 28,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978 : 78,001.56 = 19,146 : x
  2. Step 2: Convert to fraction form
    51,978/78,001.56 = 19,146/x
  3. Step 3: Cross multiply
    51,978x = 78,001.56 × 19,146
  4. Step 4: Simplify right side
    51,978x = 1,493,417,867.76
  5. Step 5: Solve for x
    x = 1,493,417,867.76/51,978
  6. Step 6: Final answer
    x = 28,731.73

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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.