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Finding the Fourth Proportional to 74,647.68, 111,978 and 27,275.76

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Solution

The fourth proportional to 74,647.68, 111,978 and 27,275.76 is: 40,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,647.68 : 111,978 = 27,275.76 : x
  2. Step 2: Convert to fraction form
    74,647.68/111,978 = 27,275.76/x
  3. Step 3: Cross multiply
    74,647.68x = 111,978 × 27,275.76
  4. Step 4: Simplify right side
    74,647.68x = 3,054,285,053.28
  5. Step 5: Solve for x
    x = 3,054,285,053.28/74,647.68
  6. Step 6: Final answer
    x = 40,916.01

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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.